Ratios and Rates

The original length of a copper rod is 18 feet. The rod is split in the ratio 3 : 2. Find the length of the longer rod.

• 10.8 feet

• 10.6 feet

• 10.4 feet

• 11 feet

Answer explanation

WKNT

A room is 14 feet long. Find the width of the room, if the ratio of the length to the width of the room is 7 : 5.

• 10

• 12

• 14

• 16

Answer explanation

WKNT

Lara and Mae are collecting seashells. For every 9 seashells that Lara picked, Mae gathered 7 seashells. If Lara collected 63 seashells, how many fewer seashells did Mae gather?

• 16

• 14

• 15

• 13

Answer explanation

Set up your proportion and cross multiply then divide.

Lara completed 105 sit-ups in 3 minutes. How many sit-ups did she accomplish per minute?

• 35 sit-ups/minute

• 25 sit-ups/minute

• 15 sit-ups/minute

• 45 sit-ups/minute

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

A recipe calls for 2 cups of flour for every 3 cups of sugar. If you want to make a half batch, how many cups of flour do you need?

• 1

• 1.5

• 2

• 3

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

A 12-ounce bottle of shampoo lasts Enrique 16 weeks. How long would you expect an 18-ounce bottle of the same brand to last him? (no label)

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