A recipe calls for 1/2 cup of ingredient A for every 1 2/5 cups of ingredient B. You use 2 cups of ingredient A. How many cups of ingredient B do you need?

5 3/5 cups of Ingredient B

Step-by-step explanation:

A recipe calls for 1/2 cup of ingredient A for every 1 2/5 cups of ingredient B. You use 2 cups of ingredient A. How many cups of ingredient B do you need?

This is calculated as:

1/2 cups of Ingredient A = 1 2/5 cups of Ingredient B

This means:

1/2 cups of Ingredient A = 7/5 cups of Ingredient B

2 cups of Ingredient A = x

Cross Multiply

2 × 7/5 = 1/2 × x

x = 2 × 7/5/1/2

x = 2 × 7/5 ÷ 1/2

x = 2 × 7/5 × 2/1

x = 28/5

x = 5 3/5 cups of Ingredient B

Hence, For 2 cups of Ingredient A, 5 3/5 cups of Ingredient B is needed