SOLUTION: A butcher has some hamburger that is 20% fat and some hamburger that is 12% fat. How many pounds of each should be mixed to make 80 lb of hamburger that is 17% fat?

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Question 201461: A butcher has some hamburger that is 20% fat and some hamburger that is 12% fat. How many pounds of each should be mixed to make 80 lb of hamburger that is 17% fat?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
.20X+.12(80-X)=.17*80
.20X+9.6-.12X=13.6
.08X=13.6-9.6
.08X=4
X=4/.08
X=50 POUNDS OF 20% FAT IS USED.
80-50=30 POUNDS OF 12 % FAT IS USED.
PROOF:
.20*50+.12*30=13.6
10+3.6=13.6
13.6=13.6