SOLUTION: Lauren is shooting at a target in a fair. If she hits the target she receives 50p, if she misses she loses 20p. After 15 shots, Lauren she has made a profit of £1.20. How many hits

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Question 215616: Lauren is shooting at a target in a fair. If she hits the target she receives 50p, if she misses she loses 20p. After 15 shots, Lauren she has made a profit of £1.20. How many hits has she had?
I know the answer is 6 (using trial and error) but I need the proper algebraic method for it please.
Thank you
Ronit
Answer by ankor@dixie-net.com(12701) About Me  (Show Source):
You can put this solution on YOUR website!
Lauren is shooting at a target in a fair.
If she hits the target she receives 50p, if she misses she loses 20p.
After 15 shots, Lauren she has made a profit of £1.20.
How many hits has she had?
:
Let x = no. of hits
then
(15-x) = no. of misses
:
50x - 20(15-x) = 120 pence
:
50x - 300 + 20x = 120
:
50x + 20x = 120 + 300
:
70x = 420
x = 420%2F70
x = 6 hits