document.write( "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? \r
\n" ); document.write( "\n" ); document.write( "I know the answer is 6 (using trial and error) but I need the proper algebraic method for it please.\r
\n" ); document.write( "\n" ); document.write( "Thank you
\n" ); document.write( "Ronit
\n" ); document.write( "

Algebra.Com's Answer #163024 by ankor@dixie-net.com(22740)\"\" \"About 
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Lauren is shooting at a target in a fair.
\n" ); document.write( "If she hits the target she receives 50p, if she misses she loses 20p.
\n" ); document.write( "After 15 shots, Lauren she has made a profit of £1.20.
\n" ); document.write( " How many hits has she had?
\n" ); document.write( ":
\n" ); document.write( "Let x = no. of hits
\n" ); document.write( "then
\n" ); document.write( "(15-x) = no. of misses
\n" ); document.write( ":
\n" ); document.write( "50x - 20(15-x) = 120 pence
\n" ); document.write( ":
\n" ); document.write( "50x - 300 + 20x = 120
\n" ); document.write( ":
\n" ); document.write( "50x + 20x = 120 + 300
\n" ); document.write( ":
\n" ); document.write( "70x = 420
\n" ); document.write( "x = \"420%2F70\"
\n" ); document.write( "x = 6 hits
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