Mastering Ratios: Challenging Word Problems for Grade 7

A recipe requires 3 cups of flour for every 2 cups of sugar. If you want to make a batch that uses 12 cups of flour, how many cups of sugar will you need?

• 4 cups of sugar

• 10 cups of sugar

• 6 cups of sugar

• 8 cups of sugar

In a class, the ratio of boys to girls is 4:5. If there are 36 students in total, how many boys are in the class?

• 20

• 18

• 16

• 14

A car travels 150 miles using 5 gallons of gas. How many gallons of gas would be needed to travel 300 miles?

• 10 gallons

• 20 gallons

• 15 gallons

• 5 gallons

A fruit basket contains apples and oranges in the ratio of 3:2. If there are 30 fruits in total, how many apples are there?

• 12

• 24

• 15

• 18

A school has a ratio of teachers to students of 1:15. If there are 450 students, how many teachers are there?

• 60

• 30

• 15

• 45

In a recipe, the ratio of water to rice is 2:1. If you use 6 cups of water, how much rice do you need?

• 2 cups of rice

• 1 cup of rice

• 4 cups of rice

• 3 cups of rice

A map has a scale of 1:100,000. If the distance between two cities on the map is 3 inches, what is the actual distance between the cities in miles?

• 4.73 miles

• 3.2 miles

• 6.1 miles

• 2.5 miles

The ratio of cats to dogs in a shelter is 5:3. If there are 40 animals in total, how many cats are there?

• 20

• 30

• 15

• 25

A painter mixes blue and yellow paint in the ratio of 2:3. If he uses 10 liters of yellow paint, how much blue paint does he need?

• 6.67 liters

• 8 liters

• 5 liters

• 10 liters

In a school, the ratio of students who play soccer to those who play basketball is 7:4. If there are 88 students who play sports, how many play soccer?

• 44

• 56

• 72

• 32