Visualizing Ratios: Word Problems with Tape Diagrams

A recipe calls for 2 cups of flour for every 3 cups of sugar. If you want to use 6 cups of sugar, how many cups of flour do you need? Draw a tape diagram to represent the ratio.

• 4 cups of flour

• 2 cups of flour

• 6 cups of flour

• 3 cups of flour

In a class, the ratio of boys to girls is 4:5. If there are 20 boys, how many girls are there? Create a tape diagram to show the ratio.

• 25

• 15

• 30

• 20

A gardener plants 3 rows of flowers. Each row has 4 red flowers and 2 yellow flowers. What is the ratio of red flowers to yellow flowers? Use a tape diagram to illustrate your answer.

• 2:1

• 1:1

• 3:2

• 4:3

At a pet store, the ratio of cats to dogs is 3:2. If there are 12 cats, how many dogs are there? Draw a tape diagram to visualize the ratio.

• 8 dogs

• 10 dogs

• 4 dogs

• 6 dogs

A fruit basket has apples and oranges in the ratio of 5:3. If there are 40 apples, how many oranges are there? Create a tape diagram to help solve the problem.

• 18

• 20

• 30

• 24

In a school, the ratio of students to teachers is 15:1. If there are 30 teachers, how many students are there? Use a tape diagram to represent this ratio.

• 450 students

• 600 students

• 450 teachers

• 300 students

A toy store has action figures and dolls in the ratio of 7:5. If there are 35 action figures, how many dolls are there? Draw a tape diagram to show the relationship.

• 40

• 30

• 25

• 20

For every 2 blue marbles, there are 3 red marbles in a bag. If there are 12 blue marbles, how many red marbles are there? Create a tape diagram to illustrate the ratio.

• 6 red marbles

• 24 red marbles

• 18 red marbles

• 12 red marbles

A recipe requires 4 parts of water for every 1 part of rice. If you use 8 parts of water, how much rice do you need? Use a tape diagram to visualize the solution.

• 2 parts rice

• 1 part rice

• 3 parts rice

• 4 parts rice

In a library, the ratio of fiction books to non-fiction books is 6:4. If there are 60 fiction books, how many non-fiction books are there? Draw a tape diagram to represent this ratio.

• 40

• 70

• 50

• 30