Home work help

Question

In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If
1/3 of the drink is apple juice and
1/2 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form.?

Answer 1

Here's what we know:

¹/₃ + ¹/₂ + __ = 1 (the mixture of the three juices equals the one collective fruit juice)

Let's start by converting to the Lowest Common Denominator. In this case, 6:

 

¹/₃ * ²/₂ = ²/₆

¹/₂ * ³/₃ = ³/₆

¹/₁ * ⁶/₆ = ⁶/₆

 

Giving us:

²/₆ + ³/₆ + ___ = ⁶/₆

 

Now to find the unknown, you need to subtract the knowns from the whole. That is, if we know that they all add together to make the one, then removing what we know will leave with what we don't know:

___ = ⁶/₆ - ²/₆ - ³/₆

Anyways, complete that subtraction for your final answer.