Question

A punch recipe requires 2 cups of grape juice to make 3 gallons of punch. Using the same recipe, what is the amount of grape juice needed for 1 gallon of punch?

Answer 1

set up a proportion, 2cups/3gallons=x/1gallon, solve for x to get 2/3 cups of juice for 1 gallon of punch

Answer 2

2/3 cups of grape juice would be needed for 1 gallon of punch.

Explanation:

Since the punch recipe requires 2 cups of

grape juice to make 3 gallons of punch.

To find the amount of grape juice needed to make 1 gallon of punch, let represent the amount of grape juice needed with x for simplicity and we cross multiple the equations to the get the value of x, which is the amount of grape juice needed to make 1gallon of punch.

i.e

2 cups of grape juice = 3gallons of punch.

x cups of grape juice = 1 gallon of punch

Cross multiple

3x = 2

Divide both side by 3

3x/3 = 2/3

x = 2/3

Therefore

2/3 cups of grape juice would be needed for 1 gallon of punch.