A recipe for fruit calls for 2 cans of pineapple juice and 3 cans of orange juice. Hiri is making a large batch for a community function and uses 72 cans of orange juice. How many cans of pineapple juice should he use?

48  cans of pineapple juice he should use.

Step-by-step explanation:

This, is a problem of ratio where we have to use the concept

a:b = c:d which can be also written as

a/b = c/d

According recipe

we find ratio of pineapple and orange juice

amount pine apple juice :  amount of orange juice = 2 cans : 3 cans

Thus, ratio of pineapple and orange juice = 2:3

Given that this recipe is used for making juice in large batch for a community function

Given

amount of orange juice = 72 cans

let the amount of  pine apple juice be x

ratio of pineapple and orange juice in this case

amount pine apple juice :  amount of orange juice = x cans : 72 cans

ratio of pineapple and orange juice in this case= x : 72

since recipe used is same.

ratio will be same in both case that in recipe ratio and large batch preparation for community function

Thus,

x:72 = 2:3

which can also be written as

x/ 72 = 2/3

x = 2/3 * 72 = 48

Thus, 48  cans of pineapple juice he should use.

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