SOLUTION: Anna is shooting at a target at a fair. If she hits the target she receives 50c, but if she misses she has to pay 20c for the shot. After 15 shots, Anna finds she has made a profit

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Question 766644: Anna is shooting at a target at a fair. If she hits the target she receives 50c, but if she misses she has to pay 20c for the shot. After 15 shots, Anna finds she has made a profit of $1.20. How many hits has she had?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
s = 15, how many shots
h = how many hits
m = how many misses

Account for money: %2B50%2Ah-20%2Am=120 cents
5h-2m=12 when divided both sides by 10.

s=15, so 15=h%2Bm

Solve the system:
highlight%285h-2m=12%29 and highlight%28h%2Bm=15%29

Could go like,
m=15-h,
then
5h-2%2815-h%29=12
5h-30%2B2h=12
7h=12%2B30=42
h=6 meaning m=9
RESULT: 6 hits and 9 misses.