Answer:
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.
