Question

Cranberry juice is made with a 16:3:1 ratio of water:sugar:cranberries. How much water,

in gallons, how much water is needed in order to make three gallons of cranberry juice? Express your answer as a

common fraction.

Answer 1

4 1/2 cups of water

Answer 2

2 2/5

Explanation:

We need to find out how many gallons of water so,

16/20 = water

3 gallons * 16/20 = 48/20 = 2 8/20 = 2 2/5

this works because then cranberries would be:

2 2/5/16 = 15/100

and for sugar that means

15/100 * 3 = 45/100

so in total

2 40/100 + 45/100 + 15/100 = 3 gallons

and if we simpilfy 2 40/200 we get 2 2/5