Solving Problems Involving Ratios

Xavier and Alicia share some money in the ratio 3:5. Xavier gets $75.

How much does Alicia get?

• $75

• $120

• $125

• $200

Kaya and Kiko share their electricity bills in the ratio 4:3. In January Akiko pays $18. How much does Kaya pay?

• $24

• $18

• $13.50

• $42

Three children share some sweets in the ratio of their ages. The children are 4, 7, and 9 years old. The oldest child gets 54 sweets. How many sweets do the youngest receive?

• 42 sweets

• 11 sweets

• 24 sweets

• 31 sweets

Three children share some sweets in the ratio of their ages. The children are 4, 7, and 9 years old. The oldest child gets 54 sweets.

How many sweets do they share?

• 120 sweets

• 66 sweets

• 74 sweets

• 154 sweets

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

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

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

The ratio of the measures of the sides of a triangle is 21:8:14. If the perimeter of the triangle is 215 feet, find the length of each side.

• 40 ft

• 21 corresponds

• 5

• 14 corresponds to

• 105 ft

• 8 corresponds to

• 70 ft

• x =

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

• 20

• 25

• 15

• 10

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