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?

This batch has 90 cups of fruit punch

Step-by-step 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

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step-by-step explanation:

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