Mastering Ratio Concepts: Challenging Word Problems

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

• 6 cups of sugar

• 8 cups of sugar

• 10 cups of sugar

• 4 cups of sugar

In a class, the ratio of boys to girls is 4:5. If there are 20 boys in the class, how many girls are there?

• 15

• 30

• 25

• 20

A car travels 150 miles using 5 gallons of gas. What is the ratio of miles traveled to gallons of gas used?

• 35:1

• 25:1

• 40:1

• 30:1

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

• 18

• 24

• 15

• 12

Two types of paint are mixed in the ratio of 7:3. If you have 21 liters of the first type, how much of the second type do you need to maintain the ratio?

• 12 liters

• 5 liters

• 15 liters

• 9 liters

In a school, the ratio of students to teachers is 15:1. If there are 120 students, how many teachers are there?

• 6

• 8

• 10

• 12

A recipe calls for a ratio of 2:1 for oil to vinegar. If you use 4 cups of oil, how much vinegar do you need?

• 3 cups of vinegar

• 1 cup of vinegar

• 4 cups of vinegar

• 2 cups of vinegar

A bag contains red and blue marbles in the ratio of 5:3. If there are 40 marbles in total, how many red marbles are there?

• 30

• 20

• 15

• 25

In a race, the ratio of the speeds of two runners is 3:4. If Runner A runs at 12 miles per hour, how fast is Runner B running?

• 16 miles per hour

• 20 miles per hour

• 18 miles per hour

• 14 miles per hour

A school has a ratio of 2:3 for boys to girls in the basketball team. If there are 18 boys, how many girls are on the team?

• 24

• 21

• 27

• 30