SOLUTION: Stephan made 56 copies costing $16. Color copies cost $.75 each and black and white copies cost $.10 each. How many copies of each type did Stephan make?

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Question 901130: Stephan made 56 copies costing $16. Color copies cost $.75 each and black and white copies cost $.10 each. How many copies of each type did Stephan make?
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
c = how many color copies
b = how many Black and white copies

system%280.10b%2B0.75c=16%2Cb%2Bc=56%29

system%2810b%2B75c=1600%2Cb%2Bc=56%29

Divide members of cost equation by 5,
system%282b%2B15c=320%2Cb%2Bc=56%29

Use two times the copies account equation,
system%282b%2B15c=320%2C2b%2B2c=112%29

Subtract equations,
13c=320-112
13c=208
highlight%28c=16%29
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highlight%28b=40%29