Question

In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 3/4 of the drink is apple juice and 1/10 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form

Answer 1

Explanation:

Let's assume x = apple juice, y = orange juice, and z = cranberry juice

`1 = x + y + z \\ 1 = (3)/(4) + (1)/(10) + z \\ z = 1 - (3)/(4) - (1)/(10) \\ z = (3)/(20)`

x : y : z = 3/4 : 1/10 : 3/20

If we were to make them all in the same denominator, x : y : z = 15/20 : 2/20 : 3/20.

`(3)/(4) * (5)/(5) = (15)/(20) \\ \\ (1)/(10) * (2)/(2) = (2)/(20)`