Question

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

Answer 1

2/3 (two-thirds) because for 3 gallons you use 2 cups so you divide by three to get one gallon and 2 divided by 3 is two-thirds.

Answer 2

`(2)/(3)` cups of cranberry juice is needed for one gallon of punch.

Explanation:

A punch recipe requires 2 cups of cranberry juice to make 3 gallons.

Let x cups of cranberry juice is needed for one gallon of punch.

We can set up the proportion like -

`(2)/(3) =(x)/(1)`

=>
`3x=2`

`x=(2)/(3)`

Therefore,
`(2)/(3)` cups of cranberry juice is needed for one gallon of punch.