SOLUTION: In a shooting competition, a person receives $5 if he hits the mark and pays $2 if he misses it.He tried 60 shots and was paid $13. how many times did he hit the mark?

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Question 328380: In a shooting competition, a person receives $5 if he hits the mark and pays $2 if he misses it.He tried 60 shots and was paid $13. how many times did he hit the mark?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let H be the number of hits, M the number of misses.
1.H%2BM=60
2.5H-2M=13
Multiply eq. 1 by 2 and add to eq. 2 to eliminate M.
2H%2B2M%2B5H-2M=120%2B13
7H=133
highlight%28+H=19%29
Then from eq. 1,
19%2BM=60
highlight%28+M=41%29
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19 hits and 41 misses.