Question

Sarah dilutes grape juice for her two-year-old sister. She uses 1/4 cup of grape juice for every 2/3 cup of water.How much grape juice does Sarah use for each cup of water?answer choices1/6 cup3/4 cup3/8 cup1 1/2 cup

Answer 1

3/8

Explanation:

To solve, set up a proportion

`(juice)/(water)` =
`(juice)/(watter)` Plug in the numbers you know and solve for x

`((1)/(4) )/((2)/(3) )` =
`(x)/(1)` Cross multiply and solve for x

`(2)/(3)` x =
`(1)/(4)` Multiply both sides by
`(3)/(2)`

x =
`(3)/(8)`