document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #235226 by Fombitz(32388) $\"\"$ $\"About$

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Let H be the number of hits, M the number of misses.
\n" ); document.write( "1. $\"H%2BM=60\"$
\n" ); document.write( "2. $\"5H-2M=13\"$
\n" ); document.write( "Multiply eq. 1 by 2 and add to eq. 2 to eliminate M.
\n" ); document.write( " $\"2H%2B2M%2B5H-2M=120%2B13\"$
\n" ); document.write( " $\"7H=133\"$
\n" ); document.write( " $\"highlight%28+H=19%29\"$
\n" ); document.write( "Then from eq. 1,
\n" ); document.write( " $\"19%2BM=60\"$
\n" ); document.write( " $\"highlight%28+M=41%29\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "19 hits and 41 misses.
\n" ); document.write( " \n" ); document.write( "

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