SOLUTION: mrs. stephens has one drink containing 10% fruit juice and a second drink with 20% fruit juice. how many quartz of each must she combine to obtain 8 quarts of a mixture that is 16%

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: mrs. stephens has one drink containing 10% fruit juice and a second drink with 20% fruit juice. how many quartz of each must she combine to obtain 8 quarts of a mixture that is 16%      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 388499: mrs. stephens has one drink containing 10% fruit juice and a second drink with 20% fruit juice. how many quartz of each must she combine to obtain 8 quarts of a mixture that is 16% fruit juice?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%2BB=8
.
.
.
10A%2B20B=16%288%29
5A%2B10B=64
Multiply eq. 1 by (-5) and add to eq. 2,
-5A-5B%2B5A%2B10B=-40%2B64
5B=24
highlight%28B=24%2F5%29quarts
Then from eq. 1,
A%2B24%2F5=8
A=40%2F5-24%2F5
highlight%28A=16%2F5%29quarts