Question

If it takes 3/4 cups of sugar to make 1 batch of cookies, then how many cups of sugar does Fred need to make 4 or 1/2 batches?

Answer 1

Fred needs 3 cups of sugar to make 4 batches

Fred needs 3/8 cups of sugar to make 1/2 batches

Explanation:

1 batch of cookies = 3/4 cups of sugar

how many cups of sugar does Fred need to make 4 batches

Let x = cups of sugar needed

Batches : Cups of sugar

1 : 3/4 = 4 : x

1 ÷ 3/4 = 4/x

1 * 4/3 = 4/x

4/3 = 4/x

Cross product

4 * x = 3 * 4

4x = 12

x = 12/4

x = 3 cups of sugar

Fred needs 3 cups of sugar to make 4 batches

how many cups of sugar does Fred need to make 1/2 batches?

Let x = cups of sugar needed

Batches : Cups of sugar

1 : 3/4 = 1/2 : x

1 ÷ 3/4 = 1/2 ÷ x

1 * 4/3 = 1/2 * 1/x

4/3 = 1/2x

Cross product

4 * 2x = 3 * 1

8x = 3

x = 3/8 cups of sugar

Fred needs 3/8 cups of sugar to make 1/2 batches