Advanced Ratio Word Problems

Mary had 32 pairs of shoes. If the ratio of sandals to tennis shoes is 1:7, how many pair of tennis shoes does Mary have?

Lance had 24 apps on his phone. If the ratio of educational apps to gaming apps is 5:1, how many educational apps are there?

Mrs. Brown graded 84 papers. If the ratio of science papers to math papers is 2:10, how many math papers did she grade?

Larry read 36 books written by Gary Paulsen. If the ratio of non-fiction to fiction books is 2:7, how many non-fiction books did I read?

Use ratio language to describe the relationship where for every 5 red marbles, there are 7 blue marbles.

• There are 5 red marbles for every 7 blue marbles.

• The ratio of red marbles to blue marbles is 5 to 7.

• Both A and B

• None of the above

In a survey, the ratio of people who prefer tea to those who prefer coffee is 4:5. If 180 people were surveyed, how many prefer tea?

• 80

• 72

• 90

• 100

The ratio of lemon juice to water in Ella's Delicious Lemonade is 3 cups : 5 cups. Audrey wants to make a triple batch. What ratio of lemon juice and water should she use AND how many cups of lemonade will it make?

• 9 cups juice : 15 cups water makes 24 cups of lemonade

• 6 cups juice : 10 cups water makes 16 cups of lemonade

• 9 cups juice : 15 cups water makes 8 cups of lemonade

• 9 cups juice : 5 cups water makes 24 cups of lemonade

A school's student to teacher ratio is 20:1. If there are 400 students, how many teachers are there?

• 20

• 25

• 15

• 10

Two quantities are in the ratio 7:3. If the sum of the quantities is 100, what is the larger quantity?

• 70

• 75

• 30

• 25

If the ratio of cats to dogs in a pet store is 3:4, and there are 12 cats, how many dogs are there?

• 16

• 15

• 14

• 13