Applying Rate and Ratio Reasoning

Determine which of the following are proportional.

• Only B

• A, B and C

• B, C and E

• A, C, D and E

Solve for the unknown in the equivalent ratios.
3/4 = 9/?

• 8

• 10

• 4

• 12

In my fish tank, the ratio of red fish to blue fish is 3:5. There are 20 blue fish. How many red fish are there?

• 18

• 12

• 4

• 15

At the animal shelter, the ratio of dogs to cats is 12 to 16. If there are 48 dogs, how many cats are there?

• 48

• 28

• 64

• 52

Jeff ran 6 miles in 4 hours. At this rate, how many miles will he run in 6 hours?

Mathematical Equivalence

ON

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 falcon bird flies 35 meters in 10 seconds.  If it keeps flying at the same rate, how long will it take it to fly 14 more meters?  

Hint: Use your knowledge of proportional reasoning!

• x = 49 seconds

• x = 4 meters

• x = 49 meters

• x =  4 seconds

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

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