Answer:
Fred needs 3 cups of sugar to make 4 batches
Fred needs 3/8 cups of sugar to make 1/2 batches
Step-by-step 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
