SOLUTION: Tim and Judy mix two kinds of feed for pedigree dogs. They wish to make 17 pounds of feed worth $0.22 pound by mixing one kind worth $0.11 per pound with another worth $0.50 per po

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Question 182520: Tim and Judy mix two kinds of feed for pedigree dogs. They wish to make 17 pounds of feed worth $0.22 pound by mixing one kind worth $0.11 per pound with another worth $0.50 per pound. How many pounds of the cheaper kind should they use in the mix?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
let x and y be the amount of .11 and .5 mixtures respectively
:
x+y=17..........eq 1
.11x+.5y=.22(17).eq 2
:
rewrite eq 1 to x=17-y and plug that value into eq 2
:
.11(17-y)+.5y=3.74
:
1.87-.11y+.5y=3.74
:
.39y=1.87
:
highlight%28y=4.79%29pounds of $.50 mix
:
highlight%28x=17-y=17-4.79=12.21%29pounds of $.11 mix