Solve Ratio Word Problems with Tape Diagrams

A school has 4 boys for every 7 girls. If there are 28 girls, how many boys are there?

• 16

• 25

• 20

• 10

A bakery uses 4 cups of sugar for every 7 cups of flour in a cake recipe. If they use 28 cups of flour, how much sugar do they need?

• 10 cups

• 16 cups

• 25 cups

• 20 cups

A toy store has 6 action figures and 9 dolls. If the ratio of action figures to dolls is 2:3, how many dolls are there?

• 12

• 5

• 15

• 9

If 30 kids in the class like grape juice, how many kids like pineapple juice?  Use the tape diagrams to answer.

• 4

• 30

• 70

• 40

The ratio of sweaters to vests is 6:5. If there are 30 vests, how many sweaters are there? Use the tape diagram to find your answer.

• 36

• 42

• 66

• 6

11. Troy and Diego share some sports cards in a ratio 3:7. Diego has 56 sports cards. How many sports cards do they have altogether?

Mathematical Equivalence

ON

If there are 120 boys in the group, how many boys and girls are there TOTAL?  Use the tape diagrams to solve.

• 150

• 270

• 250

• 360

In a bag of Jolly Ranchers, the ratio of blue to red is 3 to 4.  If I have a TOTAL of 56 Jolly Ranchers, how many of them are blue?  Solve with a tape diagram.

• 12

• 28

• 32

• 24

If there are 24,000 maned wolves, how many dholes are there?  Use the tape diagrams to solve.

• 240

• 2400

• 2640

• 24,240

The ratio of brownies to cookies is 3:5.  If there are 75 cookies, how many brownies are there?

• 15

• 32

• 45

• 60