Question

Elena makes a fruit punch by mixing 4 parts cranberry juice to 3 parts apple juice to 2 parts grape juice.If one batch of fruit punch includes 30 cups of apple juice,how large is this batch of fruit punch?

Answer 1

This batch has 90 cups of fruit punch

Explanation:

Fruit punch=4 parts cranberry, 3 parts apple juice, 2 parts grape juice

Proportions for each=Number of parts/Total Parts

Cranberry proportion=4/(4+3+2)=4/9

Apple juice proportion=3/(4+3+2)=3/9=1/3

Grape juice proportion=2/(4+3+2)=2/9

There for;

Apple juice proportion×Total amount of fruit punch(T)=30 cups of apple juice

Replacing;

(1/3)×T=30

T=90 cups

Total amount of fruit punch=T=90 cups

This batch has 90 cups of fruit punch