Posted by **Gaby** on Thursday, November 20, 2008 at 11:48am.

Mix A=2 cups concentrate:3 cups water

Mix B=5 cups concentrate:9 cups water

Mix C=1 cups concentrate:2 cups water

Mix D=3 cups concentrate:5 cups water

For each mix, how much concentrate and how much water are needed to make 1 cup of juice?

- Math -
**Reiny**, Thursday, November 20, 2008 at 12:01pm
I will do one of them in a systematic way, you then should be able to reason out the others without any actual work

MIX D

conentrate:water = 3:5

let the amount of concentrate be 3x

and the amount of water be 5x

(notice 3x:5x = 3:5)

then 3x + 5x = 1

8x = 1

x = 1/8

so concentrate = 3x = 3/8 of a cup

water = 5x = 5/8 of a cup

notice how 3/8 + 5/8 = 1

notice 3/8 : 5/8 = 3:5

can you now do the others by observing how the 8 was obtained?

- Math -
**Gaby**, Thursday, November 20, 2008 at 4:22pm
Thanks!!!

A=2/5 & 3/5

B=5/14 & 9/14

C=1/3 & 2/3

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