Question

In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If

1/4 of the drink is apple juice and
2/5 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form

Answer 1

`Cranberry:Apple:Orange = 7:5:8`

Explanation:

Given

`Apple = 1/4`

`Orange = 2/5`

Required

Determine the ratio of Cranberry to Apple to Orange

First, we calculate the fraction of Cranberry using:

`Cranberry + Apple + Orange = 1`

Substitute values for Apple and Orange

`Cranberry + 1/4+ 2/5= 1`

Collect Like Terms

`Cranberry = 1- 1/4- 2/5`

Take LCM

`Cranberry = (20 - 5 - 8)/(20)`

`Cranberry = (7)/(20)`

The ratio is then represented as:

`Cranberry:Apple:Orange = 7/20:1/4:2/5`

Multiply through by 20

`Cranberry:Apple:Orange = 20(7/20:1/4:2/5)`

`Cranberry:Apple:Orange = 20*7/20:20*1/4:20*2/5`

`Cranberry:Apple:Orange = 7:5:8`