Question

A punch recipe requires 2/5 of a cup of pineapple juice for every 2 1/2 cups of soda. What is the unit rate of soda to pineapple juice in the punch?

Answer 1

2 1/2 = 5/2
ratio : 5/2 : 3/5 (soda to pineapple)
multiply by 2/5

ratio : 1 : 6/25 (1 unit of soda to 6/25 units of pineapple)

Answer 2

unit rate of soda to pineapple juice=
`(25)/(4)`

Explanation:

In this question we have given

amount of pineapple juice in recipe=
`(2)/(5)`

amount of pineapple soda in recipe=
`(5)/(2)`We have to find the unit rate of soda to pineapple juice in the punch which can be determined by deviding the quantity of soda by quantity of pineapple in the punch

Therefore,

unit rate of soda to pineapple juice=
`((5)/(2) )/((2)/(5) )`

unit rate of soda to pineapple juice=
`(25)/(4)`