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Course: 6th grade   >   Unit 1

  • Ratios on coordinate plane
  • Ratios and measurement
  • Ratios and units of measurement

Part to whole ratio word problem using tables

  • Part-part-whole ratios

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Ratio word problems for 6th grade

These ratio word problems are great for ages 11 and older who are looking to improve their ratio skills.

There are 5 people in a room, three of which are boys and two of which are girls. What is the ratio of boys to girls?

There are 3 boys to every 2 girls therefore the ratio is 3:2s

48 apples need to be divided into a ratio of 2:4:6 to fit into three different buckets. How many apples go into the smallest bucket?

2 : 4 : 6 can be simplified to 1 : 2 : 3 And 1 + 2 + 3 = 6 We divide the total apples by 6 48 ÷ 6 = 8 Ratio of the smallest bucket is 1 : 6 therefore: 8 x 1 = 8

Two trains are passing each other on the train track. One has 18 carriages and the other has 90 carriages. How many times fewer carriages has the one train compared to the other?

5 times fewer

The ratio is 18:90 To simplify this you can divide each side by 18 and the ratio you are left with is 1:5

What is the ratio of cupcakes to the total number of items in the picture below?

how to solve ratio word problems 6th grade

There are 3 cupcakes and 16 items in the picture.

Jemima brought 10 cupcakes and Eddy brought 6 cupcakes to share for their class. What is the ratio of Jemima’s total cupcakes to Eddy’s?

The ratio can be written as Jemima 10 : Eddy 6 which can be simplified if we divide each side by 2 leaving us with: 5:3

Tammi has a bowl of fruit which has only apples and bananas. The ratio is 2 apples to each banana. If there are a total of 15 fruits in the bowl, how many apples are there?

We know that the fruit ratio is 2 apples : 1 banana meaning there are a total of 3 fruits per fruit grouping (2 apples + 1 banana). 15 / 3 = 5 fruit groupings 5 x 2 apples per group = 10 apples in total

What is the ratio of presents to the total number of items in the picture on the right?

There are 4 presents and 16 items in the picture. 4:16 can be simplified to 1:4

If a pet store has a total of 66 cats and dogs into a ratio of 2 cats per dog, how many cats are there?

We know that the pet ratio is 2 cats : 1 dog meaning there are a total of 3 pets per group (2 cats + 1 dog). 66 / 3 = 22 pet groups 22 x 2 cats per group = 44 cats in total

Convert 100m to feet if the ratio of meters to feet is 1 meter to 3,28 feet.

The ratio of meters to feet is 1 meter : 3,28 feet. Multiply your feet by 100 to convert the ratio. 100 m : 328 feet

On a cruise ship, there is a ratio of 3 adults to every 1 child. If there were a total of 400 people on the cruise ship, how many of the people were children?

We know that the people ratio is 3 adults : 1 child meaning there are a total of 4 people per group (3 adults + 1 child). 400 / 4 = 100 groups of people 100 x 1 child per group = 100 children in total

Interested in more math problem practice? Try our worksheets and math problems on other topics on the links below.

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24 Ratio Word Problems for Grades 6-7 With Tips On Supporting Students’ Progress

Emma johnson.

Ratio word problems are introduced for the first time in 6th grade. The earliest mention of ‘Ratio’ is in the 6th grade Ratio and Proportional Relationships strand of the Common Core State Standards for math. 

At this early stage, it is essential to concentrate on the language and vocabulary of ratio relationships. Children need to be clear on the meaning of the ratio symbol right from the start of the topic. Word problems really help children understand this concept since they make it much more relevant and meaningful than a ratio question with no context.

Concrete resources and visual representations are key to the success of children’s early understanding of ratio. These resources are often used in 2nd grade word problems , 3rd grade word problems and 4th grade word problems . There is often a misconception amongst upper elementary teachers and students, that mathematical manipulatives are only for children who struggle in math. However, all students should be introduced to this new concept through resources, such as two-sided counters and visual representations, such as bar models as this can help with understanding basic mathematical concepts such as addition and subtraction word problems .

As students progress across grades, they continue to build on their knowledge and understanding of ratio. This means that students gradually move away from the practical and visual resources, while word problems continue to be a key element to any lessons involving ratios. This foundational ratio knowledge is used as a base for proportional relationships and then linear relationships in later grades. 

Ratio word problems are also an essential component of any lessons on ratio, to help children understand how ratios are used in real life. 

Ratio Check for Understanding Quiz

10 questions with answers covering ratio to test your 6th and 7th grade student understanding of ratios.

Ratio word problems 

Schools following CCSS

Ratios in 6th grade

Children are first introduced to ratio and ratio problems in 6th grade:

  • Recognize and write ratio relationships using conventional math notation
  • Recognize and write unit rate relationships using conventional math notation
  • Create tables of equivalent ratios and use the tables to solve problems, including measurement problems
  • Calculate unit rates and use unit rates to solve problems
  • Recognize and write percents (a special type of ratio)
  • Calculate a whole given a part or a percent *Note that all original ratio relationships in 6th grade involve only whole numbers – however students are expected to create equivalent ratios that involve fractions or decimals (particularly for unit rates)

Ratios in 7th grade

Students in 7th grade continue to build on their knowledge of ratio from 6th grade. 

  • Calculate unit rates and solve problems for ratios comparing two fractions
  • Solve problems involving proportional relationships
  • Solve problems involving percentage change, including: percentage increase, decrease and original value problems and simple interest in financial mathematics.
  • Use scale factors to draw smaller or larger geometric figures
  • Calculate the scale factor between two similar geometric figures

Schools not following CCSS

Schools that do not follow the Common Core will most likely cover the topics above but may do so in a different order or a different grade levels. Consult with your school’s specific curriculum map for clarification.

Why are word problems important for children’s understanding of ratio?

Solving word problems is important for helping children develop their understanding of ratio and the different ways ratio is used in everyday life. Without this context, ratio can be quite an abstract concept, which children find difficult to understand. Word problems bring ratios to life and enable students to see how they will make use of this skill outside the classroom.

Third Space Learning’s online one-on-one tutoring programs relate math concepts to real-world situations to deepen conceptual understanding. The online lessons are personalized to fill the gaps in each individual student’s math knowledge, helping them to build skills and confidence.

Example of a Third Space Learning ratio and proportion lesson slides

How to teach ratio word problem-solving in middle school 

It is important that children learn the skills needed to solve ratio word problems. As with any math problem, children need to make sure they have read the questions carefully and thought about exactly what is being asked and whether they have fully understood this. The next step is to identify what they will need to do to solve the problem and whether there are any concrete resources or visual representations that will help them. Even older students can benefit from drawing a quick sketch to understand what a problem is asking.

Here is an example:

Jamie has a bag of red and yellow candies.

For every red candy, there are 2 yellow candies.

If the bag has 6 red candies, how many candies are in the whole bag?

How to solve:

What do you already know?

  • We know that for every red candy, there are 2 yellow candies.
  • If there are 6 red candies, we need to find how many yellow candies there must be. 
  • If there are 2 yellow candies for each 1 red candy, then we can multiply 2 by 6, to calculate how many yellow candies there are with 6 red candies.
  • Once we have calculated the total number of yellow candies (12), we then need to add this to the 6 red candies, to work out how many candies are in the bag altogether.
  • If there are 6 red candies and 12 yellow candies, there must be 18 candies in the bag altogether.

  How can this be represented visually?

how to solve ratio word problems 6th grade

  • We can use the two-sided counters to represent the red and yellow candies.
  • We put down 1 red counter and 2 yellow counters.
  • We then need to repeat this 6 times, until there are 6 red counters and 12 yellow counters.
  • We can now visually see the answer to the word problem and that there are now a total of 18 counters (18 candies in the bag).

Ratio word problems for 6th grade

Word problems for 6th grade often incorporate multiple skills: a ratio word problem may also include elements from multiplication word problems , division word problems , percentage word problems and fraction word problems.

Sophie was trying to calculate the number of students in her school.

She found the ratio of boys to girls across the school was 3:2.

If there were 120 boys in the school…

  • How many girls were there?
  • How many students were there altogether?

Answer: a) 80 b) 200

a. 80 girls

This can be shown as a bar model.

how to solve ratio word problems 6th grade

120 ÷ 3 = 40

40 x 2 = 80

b. 200 students altogether

120 boys + 80 girls = 200

Students in the Eco Club in 6th Grade wanted to investigate how many worksheets were being printed each week in Math and English.

They found that there were 160 Math worksheets and 80 English worksheets being printed each week.

What is the ratio of Math to English worksheets? Write the ratio in simplest form.

Answer: 2:1

The ratio 160:80 can be simplified by dividing both sides by 80.

The 6th-grade rugby club has 30 members. The ratio of boys to girls is 4:1. How many boys and girls are in the club?

Answer: 24 boys and 6 girls

The ratio of 4:1 has 5 parts:

Boys: 4 x 6 = 24

Girls: 1 x 6 = 6

Yasmine has a necklace with purple and blue beads.

The ratio of purple:blue beads  = 1:3

There are 24 beads on the necklace. How many purple and blue beads are there?

Answer: 6 purple beads and 18 blue beads

The ratio of 1:3 has 4 parts and 24 ÷ 4 = 6 beads per part.

Purple: 1 x 6 = 6

Blue: 3 x 6 = 18

Maisie drives past a field of sheep and cows.

She figures out that the ratio of sheep to cows is 3:1.

If there are 5 cows in the field, how many sheep are there?

Answer: 15 sheep

If there are 5 cows in the field, the 1 has been multiplied by 5.

We need to also multiply the 3 by 5, which is 15.

ratio word problems diagram

At a party, there is a choice of 2 flavors of jelly beans – orange and lemon.

The ratio of the jelly beans is 3:1 (orange: lemon).

What percent of the jelly beans are orange?

Answer: 75%

To find the percent, we need to write the ratio of orange jelly beans to total jelly beans. Since for every 3 orange jelly beans, there are 4 jelly beans in total (3 orange + 1 lemon = 4 total), the ratio is 3 to 4 or ¾. 

To convert the ratio to a percent, the denominator needs to be 100.

Multiply both parts of the fraction by 25.

75/100 is equal to 75%.

The school photocopier prints out 150 sheets in 3 minutes.

How many sheets can it print out in 15 minutes?

Answer: 750 sheets in 15 minutes

We need to multiply 3 by 5 to get 15 minutes. This means we also need to multiply 150 by 5 = 750.

ratio word problems workings

Rowen wants to buy $80 worth of books. He will have to pay a 5% tax. How much will Rowen pay in total for the books?

Answer: $84

Since $8 is 10% of $8, then half will be 5%, which is $4.

$80 + $4 = $84

David has 2 grandchildren: Olivia (age 6) and Mia(age 3)

He decides to share $60 between the 2 children in a ratio of their ages.

How much does each child get?

Answer: Olivia gets $40, Mia gets $20

Ratio of 2:1 = 3 part and 60 ÷ 3 = $20 per part.

Olivia: 2 x 20 = $40

Mia: 1 x 20 = $20

A rectangle has the ratio of width to length 2:3. If the perimeter of the rectangle is 50cm, what’s the area?

Answer: Area: 150cm2

The ratio has 5 parts:

Divide 50 by 5 to work out 1 part = 10

The 2 widths must be 2 x 10 = 20

The 2 lengths must be 3 x 10 = 30

To work out the width of 1 side, divide the 20 by 2 = 10

To work out the length of 1 side, divide the 30 by 2 = 15

Width: 10cm and Length: 15cm

Area: 10 x 15 = 150cm 2

For a class field trip, 45% of students in Kinley’s class want to go to the zoo. The other students want to go to see a play. If 11 students want to go see a play, how many total students are in Kinley’s class?

Answer: 20 students

Since 5% is 1 student, then 45% is 9 students.

Adding the students that want to go to the zoo and the students that want to see a play, is the whole class, or 100% of the students.

11 + 9 = 20 students

A piece of ribbon is 45cm long.

It has been cut into 3 smaller pieces in a ratio of 4:5.

How long is each piece?

Answer: 20cm, 25cm

4:3:2 =9 parts: 45 ÷ 9 = 5cm per part.

4 x 5 = 20cm

3 x 5 = 25cm

Chloe is making a smoothie for her and her 3 friends.

She has the recipe for making a smoothie for 4 people: 240ml yogurt, 120 ml milk, 2 bananas, 180g strawberries and 1 tablespoon of sugar.

  • How much yogurt would be needed to make a smoothie for 8 people.
  • How many g of strawberries are needed to make the smoothie for 2 people?
  • 480 ml yogurt  

240ml x 2 = 480

  • 90g strawberries

180 ÷ 2 = 90

The ratio of cups of flour: cups of water in the recipe for making the dough for a pizza base is 7:4.

The pizza restaurant needs to make a large number of pizzas and is using 42 cups of flour. How much water will be needed?

Answer: 24 cups of water

Multiply 7 by 6 to get 42 cups of flour.

We, therefore, need to also multiply the 4 by 6 to calculate how many cups of water are needed.

ratio word problems multiplication diagram

Muhammad shared $56 between him and his brother Hamza in a ratio of 3:5 (3 for Hamza and 5 for him).

How much did each get?

Answer: Muhammad got $35, his brother got $21

Ratio of 3:5 = 8 parts

56 ÷ 8 = $7 per part

3 x 7 =$ 21

5 x 7 = $35

Scott has read 40% of his book. If he has 168 pages left, how many total pages does the book have?

Answer: 280 pages

100% – 40% = 60%

The 168 pages represent the 60% that Scott has not read.

Since 60% is 168, dividing both by 6 shows that 10% is 28. And multiplying by 10 shows how many pages are in 100% of the book.

Ratio word problems for 7th grade

For every 250 tickets sold, the theater receives $687.50.

How much money did the theater charge for 1 ticket?

Answer: $2.75

The original ratio of tickets sold to dollars the theater made is 250 : 687.50. 

To get liters to 1, divide both sides by 250.

A faucet drips ⅓ of a liter of water in ½ of an hour. How long does it take the faucet to drip 1 liter?

Answer: 1 and ½ hours

The original ratio of liters to hours ⅓ : ½. 

To get liters to 1, multiply by sides by 3.

When liters is 1, hours is equal to 3/2 or 1 and ½.

The angles in a triangle are in the ratio of 3:4:5 for angles A, B and C.

Calculate the size of each angle.

Angle A: 45°

Angle B: 60°

Angle C: 75°

3:4:5 = 12 parts.   180 ÷ 12 = 15 (each part is worth 15°)

3 x 15 = 45

4 x 15 = 60

5 x 15 = 75

A drink is made by mixing pineapple and lemonade in the ratio of ⅔ of a cup to ⅘ of a cup. If Jayla has 1 cup of lemonade, how much pineapple should she add to keep the same drink ratio?

Answer: ⅚ of a cup

The original ratio of cups pineapple to lemonade is ⅔ :⅘.

To get cups of lemonade to 1, multiply by sides by 5/4.

When lemonade is 1 cup, pineapple is 10/12 or 5/6.

 A $74 pair of shoes is on sale for 60% off. If Kalani buys two pairs of the shoes and pays the 7% tax on the total cost, how much money did Kalani spend in all?

Answer: $63.34

100% – 60% = 40%, so Kalani will pay 40% of the original price.

$74 0.4 = $29.60

The two pairs, before tax, cost: $29.60 + $29.60 = $59.20

Since 7% = 0.07, multiply $59.20 times 0.07 to calculate the tax.

$59.20 0.07 = $4.144 (round down to $4.14).

$59.20 + $4.14 = $63.34

*Note: You can also solve by multiplying $59.20 1.07 = $63.34

Jaxton bought a video game console for $650 two years ago. He just sold it for $475. What is the percent decrease, to the nearest percent, in the price of the game console from when Jaxton bought it to when he sold it?

Answer: 27%

$650 – $475 = $175

Divide the difference by the original price.

$175 $650 = 0.269…

To convert the decimal to a percent, multiply by 100.

0.269 100 = 26.9%, which rounds up to 27%.

Two companies are making an orange-colored paint.

Company A makes the orange paint by mixing red and yellow paint in a ratio of 5:7.

Company B makes the orange paint by mixing red and yellow paint in a ratio of 3:4.

Which company uses a higher proportion of red paint to make the orange?

Answer: Company B uses more red paint.

Company A: 5:7 = 5/12 is red

Company B: 3:4 = 3/7 is red

We can compare the fractions by giving them the same denominator, to find the equivalent fractions.

5/12 = 35/84

3/7 = 36/84

$8,142 is invested in a savings account with a 0.2% simple interest rate per month. What is the total interest earned after 4 years?

Answer: $781.63

Use the equation I=Prt:

t = 4 years x 12 = 48 months

$8,142 (0.002 x 48) = $781.632

$781.632 rounds to $781.63

More word problems

Looking for word problems on more topics? Take a look at our practice problems for Years 3-6 including money word problems , time word problems , addition word problems and subtraction word problems .

Do you have students who need extra support in math? Give your students more opportunities to consolidate learning and practice skills through personalized math tutoring with their own dedicated online math tutor. Each student receives differentiated instruction designed to close their individual learning gaps, and scaffolded learning ensures every student learns at the right pace. Lessons are aligned with your state’s standards and assessments, plus you’ll receive regular reports every step of the way. Personalized one-on-one math tutoring programs are available for: – 2nd grade tutoring – 3rd grade tutoring – 4th grade tutoring – 5th grade tutoring – 6th grade tutoring – 7th grade tutoring – 8th grade tutoring Why not learn more about how it works ?

The content in this article was originally written by former UK Deputy Headteacher and has since been revised and adapted for US schools by math curriculum specialist and former elementary math teacher Katie Keeton.

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Welcome to our Ratio Word Problems page. Here you will find our range of 6th Grade Ratio Problem worksheets which will help your child apply and practice their Math skills to solve a range of ratio problems.

For full functionality of this site it is necessary to enable JavaScript.

Here are the instructions how to enable JavaScript in your web browser .

Here you will find a range of problem solving worksheets about ratio.

The sheets involve using and applying knowledge to ratios to solve problems.

The sheets have been put in order of difficulty, with the easiest first. They are aimed at students in 6th grade.

Each problem sheet comes complete with an answer sheet.

Using these sheets will help your child to:

  • apply their ratio skills;
  • apply their knowledge of fractions;
  • solve a range of word problems.
  • Ratio Problems 1
  • PDF version
  • Ratio Problems 2
  • Ratio Problems 3
  • Ratio Problems 4

Ratio and Probability Problems

  • Ration and Probability Problems 1
  • Sheet 1 Answers
  • Ration and Probability Problems 2
  • Sheet 2 Answers

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

More Ratio & Unit Rate Worksheets

These sheets are a great way to introduce ratio of one object to another using visual aids.

The sheets in this section are at a more basic level than those on this page.

We also have some ratio and proportion worksheets to help learn these interrelated concepts.

  • Ratio Part to Part Worksheets
  • Ratio and Proportion Worksheets
  • Unit Rate Problems 6th Grade

6th Grade Percentage Worksheets

Take a look at our percentage worksheets for finding the percentage of a number or money amount.

We have a range of percentage sheets from quite a basic level to much harder.

  • Percentage of Numbers Worksheets
  • Money Percentage Worksheets
  • 6th Grade Percent Word Problems

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Word problems involving ratios - solved with bar models (6th grade math lesson)

In the first part, I solve two different word problems that involve ratios, each time with the help of a bar model or diagram - Singapore Math style. The bar or block model is incredibly helpful for these situations and makes the problem solving a breeze.

In the second part, we tackle two more problems. The first one involves a ratio and a difference between two quantities. The second one involves fractional parts, a change in the situation, and a given ratio.

Word problems involving unit rates — video lesson

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Algebra: Ratio Word Problems

Related Pages Two-Term Ratio Word Problems More Ratio Word Problems Algebra Lessons

In these lessons, we will learn how to solve ratio word problems that have two-term ratios or three-term ratios.

Ratio problems are word problems that use ratios to relate the different items in the question.

The main things to be aware about for ratio problems are:

  • Change the quantities to the same unit if necessary.
  • Write the items in the ratio as a fraction .
  • Make sure that you have the same items in the numerator and denominator.

Ratio Problems: Two-Term Ratios

Example 1: In a bag of red and green sweets, the ratio of red sweets to green sweets is 3:4. If the bag contains 120 green sweets, how many red sweets are there?

Solution: Step 1: Assign variables: Let x = number of red sweets.

Step 2: Solve the equation. Cross Multiply 3 × 120 = 4 × x 360 = 4 x

Answer: There are 90 red sweets.

Example 2: John has 30 marbles, 18 of which are red and 12 of which are blue. Jane has 20 marbles, all of them either red or blue. If the ratio of the red marbles to the blue marbles is the same for both John and Jane, then John has how many more blue marbles than Jane?

Solution: Step 1: Sentence: Jane has 20 marbles, all of them either red or blue. Assign variables: Let x = number of blue marbles for Jane 20 – x = number red marbles for Jane

Step 2: Solve the equation

Cross Multiply 3 × x = 2 × (20 – x ) 3 x = 40 – 2 x

John has 12 blue marbles. So, he has 12 – 8 = 4 more blue marbles than Jane.

Answer: John has 4 more blue marbles than Jane.

How To Solve Word Problems Using Proportions?

This is another word problem that involves ratio or proportion.

Example: A recipe uses 5 cups of flour for every 2 cups of sugar. If I want to make a recipe using 8 cups of flour. How much sugar should I use?

How To Solve Proportion Word Problems?

When solving proportion word problems remember to have like units in the numerator and denominator of each ratio in the proportion.

  • Biologist tagged 900 rabbits in Bryer Lake National Park. At a later date, they found 6 tagged rabbits in a sample of 2000. Estimate the total number of rabbits in Bryer Lake National Park.
  • Mel fills his gas tank up with 6 gallons of premium unleaded gas for a cost of $26.58. How much would it costs to fill an 18 gallon tank? 3 If 4 US dollars can be exchanged for 1.75 Euros, how many Euros can be obtained for 144 US dollars?

Ratio problems: Three-term Ratios

Example 1: A special cereal mixture contains rice, wheat and corn in the ratio of 2:3:5. If a bag of the mixture contains 3 pounds of rice, how much corn does it contain?

Solution: Step 1: Assign variables: Let x = amount of corn

Step 2: Solve the equation Cross Multiply 2 × x = 3 × 5 2 x = 15

Answer: The mixture contains 7.5 pounds of corn.

Example 2: Clothing store A sells T-shirts in only three colors: red, blue and green. The colors are in the ratio of 3 to 4 to 5. If the store has 20 blue T-shirts, how many T-shirts does it have altogether?

Solution: Step 1: Assign variables: Let x = number of red shirts and y = number of green shirts

Step 2: Solve the equation Cross Multiply 3 × 20 = x × 4 60 = 4 x x = 15

5 × 20 = y × 4 100 = 4 y y = 25

The total number of shirts would be 15 + 25 + 20 = 60

Answer: There are 60 shirts.

Algebra And Ratios With Three Terms

Let’s study how algebra can help us think about ratios with more than two terms.

Example: There are a total of 42 computers. Each computer runs one of three operating systems: OSX, Windows, Linux. The ratio of the computers running OSX, Windows, Linux is 2:5:7. Find the number of computers that are running each of the operating systems.

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Ratio Word Problems

Here, we will learn to do some practical word problems involving ratios.

Amelia and Mary share $40 in a ratio of 2:3. How much do they get separately?

There is a total reward of $40 given.  Let Amelia get = 2x and Mary get = 3x Then, 2x + 3x = 40 Now, we solve for x => 5x = 40 => x = 8 Thus, Amelia gets = 2x = 2 × 8 = $16 Mary gets = 3x = 3 × 8 = $24

In a bag of blue and red marbles, the ratio of blue marbles to red marbles is 3:4. If the bag contains 120 green marbles, how many blue marbles are there?

Let the total number of blue marbles be x Thus, ${\dfrac{3}{4}=\dfrac{x}{120}}$ x = ${\dfrac{3\times 120}{4}}$ x = 90 So, there are 90 blue marbles in the bag.

Gregory weighs 75.7 kg. If he decreases his weight in the ratio of 5:4, find his reduced weight.

Let the decreased weight of Gregory be = x kg Thus, 5x = 75.7 x = \dfrac{75\cdot 7}{5} = 15.14 Thus his reduced weight is 4 × 15.14 = 60.56 kg

A recipe requires butter and sugar to be in the ratio of 2:3. If we require 8 cups of butter, find how many cups of sugar are required. Write the equivalent fraction.

Thus, for every 2 cups of butter, we use 3 cups of sugar Here we are using 8 cups of butter, or 4 times as much So you need to multiply the amount of sugar by 4 3 × 4 = 12 So, we need to use 12 cups of sugar Thus, the equivalent fraction is ${\dfrac{2}{3}=\dfrac{8}{12}}$

Jerry has 16 students in his class, of which 10 are girls. Write the ratio of girls to boys in his class. Reduce your answer to its simplest form.

Total number of students = 16 Number of girls = 10 Number of boys = 16 – 10 = 6 Thus the ratio of girls to boys is ${\dfrac{10}{6}=\dfrac{5}{3}}$

A bag containing chocolates is divided into a ratio of 5:7. If the larger part contains 84 chocolates, find the total number of chocolates in the bag.

Let the total number of chocolates be x

Then the two parts are:

${\dfrac{5x}{5+7}}$ and ${\dfrac{7x}{5+7}}$

${\dfrac{7x}{5+7}}$ = 84

=> ${\dfrac{7x}{12}}$ = 84

Thus, the total number of chocolates that were present in the bag was 144

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Proportions word problems

Ratios, Proportions and Problem Solving Workbook

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Math worksheets: Proportions word problems

Below are grade 6 math worksheets with proportions word problems.

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IMAGES

  1. Ratio Word Problems With Answers Grade 6

    how to solve ratio word problems 6th grade

  2. Ratio Table Worksheet 6Th Grade

    how to solve ratio word problems 6th grade

  3. Part To Whole Ratio Word Problems Worksheets

    how to solve ratio word problems 6th grade

  4. Equivalent Ratio Word Problems 6th Grade

    how to solve ratio word problems 6th grade

  5. Ratio Word Problems Worksheets

    how to solve ratio word problems 6th grade

  6. IXL

    how to solve ratio word problems 6th grade

VIDEO

  1. 10

  2. Comparing ratio word problems

  3. Ratio

  4. Saxon Math L.88 Using Proportions to Solve Ratio Word Problems

  5. Ratio word Problems: Easy Challenges for Beginners#math #ncert

  6. Equivalent ratio word problems

COMMENTS

  1. Part to whole ratio word problem using tables

    3 comments ( 14 votes) Coding4el 4 years ago Hi Annet. You need to find the sum to be able to find the ratio. Example: The ratio of girls to boys in a school is (5:6). If there are 33 students, how many boys are there and girls are there? 1. 5 + 6 = 11 2. 6/11 = boy part of the school/total students 3. 11 x ? = 33, so 6 x ? = ? boys

  2. Ratio Word Problems (Simplifying Math)

    Ratio Word Problems (Simplifying Math) - YouTube © 2023 Google LLC For an entire 6th grade math course with lessons, examples, supported practice, assessments and an end of course...

  3. Ratio Problem Solving

    Students will first learn about ratio problem solving as part of ratio and proportion in 6 6 th grade and 7 7 th grade. What is ratio problem solving? Ratio problem solving is a collection of ratio and proportion word problems that link together aspects of ratio and proportion into more real life questions.

  4. Solving Ratio Word Problems (the easy way!)

    0:00 / 3:50 Solving Ratio Word Problems (the easy way!) vinteachesmath 26.9K subscribers Subscribe Subscribed 1.4K 118K views 8 years ago This video focuses on how to solve ratio word...

  5. Ratio word problems

    Grade 6 Proportions Ratio word problems Ratio word problems Use ratios to solve these word problems Students can use simple ratios to solve these word problems; the arithmetic is kept simple so as to focus on the understanding of the use of ratios. Worksheet #1 Worksheet #2 Worksheet #3 Similar: Proportions word problems Proportions What is K5?

  6. 6th Grade Math Ratio Word Problems

    Solution: Before After The ratio of the amount of money Mark had left to the amount of money Fred had in the end is 3:4. The following diagram gives another example of a ratio word problem solved using modeling. How to solve ratio word problems? Examples: A board was cut into two pieces whose lengths are in the ratio 2:5.

  7. IXL

    Skill plans. IXL plans. Virginia state standards. Textbooks. Test prep. Awards. Improve your math knowledge with free questions in "Ratios and rates: word problems" and thousands of other math skills.

  8. Ratio word problems for 6th grade

    Answer. 5:3. Explanation. The ratio can be written as Jemima 10 : Eddy 6 which can be simplified if we divide each side by 2 leaving us with: 5:3. Tammi has a bowl of fruit which has only apples and bananas. The ratio is 2 apples to each banana.

  9. Free worksheets for ratio word problems

    Find here an unlimited supply of worksheets with simple word problems involving ratios, meant for 6th-8th grade math. In level 1, the problems ask for a specific ratio (such as, "Noah drew 9 hearts, 6 stars, and 12 circles. What is the ratio of circles to hearts?"). In level 2, the problems are the same but the ratios are supposed to be simplified.

  10. 24 Ratio Word Problems for Grades 5-7

    Ratio word problems are introduced for the first time in 6th grade. The earliest mention of 'Ratio' is in the 6th grade Ratio and Proportional Relationships strand of the Common Core State Standards for math. At this early stage, it is essential to concentrate on the language and vocabulary of ratio relationships.

  11. Ratio Word Problems

    Ratio Word Problems. Here you will find a range of problem solving worksheets about ratio. The sheets involve using and applying knowledge to ratios to solve problems. The sheets have been put in order of difficulty, with the easiest first. They are aimed at students in 6th grade. Each problem sheet comes complete with an answer sheet. Using ...

  12. Word problems involving ratios

    The bar or block model is incredibly helpful for these situations and makes the problem solving a breeze. Word problems involving ratios - solved with bar models (part 1) Watch on. In the second part, we tackle two more problems. The first one involves a ratio and a difference between two quantities. The second one involves fractional parts, a ...

  13. Ratio & Percent Word Problems (examples, solutions, videos)

    A ratio is a comparison of any two quantities. It can be written as a to b, a: b or a/b. Percent is a ratio. Percent should be viewed as a part-to-whole ratio that compares a number to a whole divided into 100 equal parts. In these lessons, we will learn how to solve ratio word problems and how to use ratios to help us solve percent word problems.

  14. How to Solve Ratio Word Problems

    http://www.mathtestace.comhttp://www.mathtestace.com/fraction-word-problems/Need help solving word problems with ratios and fractions? This video will walk y...

  15. Ratio Word Problems (video lessons, examples and solutions)

    Ratio problems are word problems that use ratios to relate the different items in the question. The main things to be aware about for ratio problems are: Change the quantities to the same unit if necessary. Write the items in the ratio as a fraction. Make sure that you have the same items in the numerator and denominator. Ratio Problems: Two ...

  16. Ratio Word Problems Solved

    Write the ratio of girls to boys in his class. Reduce your answer to its simplest form. Solution: Total number of students = 16. Number of girls = 10. Number of boys = 16 - 10 = 6. Thus the ratio of girls to boys is 10 6 = 5 3. A bag containing chocolates is divided into a ratio of 5:7. If the larger part contains 84 chocolates, find the ...

  17. Use tape diagrams to solve ratio word problems

    IXL plans. Virginia state standards. Textbooks. Test prep. Awards. Improve your math knowledge with free questions in "Use tape diagrams to solve ratio word problems" and thousands of other math skills.

  18. Free proportion worksheets for grades 6, 7, and 8

    Create proportion worksheets to solve proportions or word problems (e.g. speed/distance or cost/amount problems) — available both as PDF and html files. These are most useful when students are first learning proportions in 6th, 7th, and 8th grade. Options include using whole numbers only, numbers with a certain range, or numbers with a ...

  19. Ratio Word Problems

    This video focuses on how to solve ratio word problem in algebra 1. I show how to carefully translate the verbal portions of the problem in algebraic express...

  20. Grade 6 Math Worksheet: Proportions word problems

    Grade 6 math worksheets on solving proportions word problems. Free pdf worksheets from K5 Learning's online reading and math program.