Equivalent Ratios
Missing Values

Representing Ratios with Equations
Word Problems
Up for the Challenge?/Equations
100

If the ratio of cats to dogs is 3:4, how many cats are there if there are 12 dogs?

9 cats

100

Use a tape diagram to show the ratio of 4:1. If the total number of parts is 25, how many are in each part?

100

Write an equation for the following scenario: The book fair fundraises $250 per day for the school. 

t = d * 250

t = 250d

100

A birdwatcher sees 12 robins for every 5 sparrows. If she sees 60 robins, how many sparrows does she see?

25 sparrows

100

If you have a ratio of 3:5 and you want to create a new ratio that is equivalent but with a total of 40 parts, what are the new values?

15 and 25 OR 15:25

200

A recipe requires 3 cups of flour for every 2 cups of sugar. If you want to make a larger batch using 12 cups of flour, how much sugar will you need?

8 cups of sugar

200

Fill in the missing value: 3:9 = ?:27. What is the missing value?

9

200

Write an equation for the following scenario: Peter is training for a bike race and can cycle 20 miles in 1 hour. 

m = h * 20

m = 20h 

200

A painter mixes blue and red paint in a ratio of 2:3. If she uses 10 cups of blue paint, how many cups of red does she need?

15 cups of red paint

200

In a school, there are 150 students. 90 of them are girls, and the rest are boys. What is the ratio of girls to boys?

90:60

300

A class has a ratio of 5 boys to 7 girls. If there are 56 girls in the class, how many boys are there?

40 boys

300

The ratio of pencils to erasers in a box is 4:3. If there are 28 pencils, how many erasers are there?

21 erasers

300

Write an equation for the following scenario: Tamara is wanting to buy a new TV and saves $38.50 every month. 

t = m * 38.50

t = 38.50m

300

A school has a ratio of 10 teachers for every 120 students. How many students are there for each teacher?

12 students

300

In a basket, the ratio of apples to oranges is 2:3. If there are 40 apples in the basket, how many oranges are there?

60 oranges

400

A car can travel 180 miles on 6 gallons of gas. If you want to drive 540 miles, how many gallons of gas will you need?

18 gallons

400

In a survey, the ratio of people who prefer chocolate ice cream to those who prefer vanilla is 5:3. If a total of 64 people participated in the survey, how many people preferred vanilla ice cream?

24 people preferred vanilla ice cream

400

Write an equation for the following scenario: A recipe for oatmeal raisin cookies requires 2 eggs for every 1 dozen cookies.

c = 2 * e

c = 2e

400

Donald's Donuts makes both chocolate and plain glazed donuts. Each Saturday, they make 13 plain glazed donuts for every 7 chocolate glazed donuts. What is the ratio of chocolate glazed to plain glazed? 

7:13

400

At a movie theater, the ratio of adult tickets to child tickets is 5:7. If 60 adult tickets were sold, how many child tickets were sold?

84 child tickets 

500

A fruit stand sells apples and oranges in the ratio of 3:2. If the stand has a total of 50 pieces of fruit, how many apples and how many oranges are there?

30 apples and 20 oranges

500

In a school, the ratio of students in grades 6 to 7 is 4:5. If there are a total of 90 students in both grades, how many students are in each grade?

6th grade = 40 students

7th grade = 50 students 

500

Write an equation for the following scenario: A smoothie recipe requires 3 cups of blueberries for every smoothie.

s = 3 * c

s = 3c

500

At a local daycare, there is a ratio of 2 caretakers for every 7 children. If there are 189 total children, then how many people are at the daycare facility? 

243 people

500

A bakery makes cupcakes in the ratio of chocolate to vanilla frosting 4:3. If there are 70 cupcakes, how many have chocolate frosting and how many have vanilla frosting?

40 chocolate cupcakes and 30 vanilla cupcakes 

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