document.write( "Question 628555: A salesman worked a certain numbers of days to earn $192. If he had been paid $8 more per day, he would have earned the same amount of money in 2 fewer days. How many days did he work? \n" ); document.write( "

Algebra.Com's Answer #395733 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+d+\"$ = the actual number of days he worked
\n" ); document.write( " $\"+192%2Fd+\"$ = the actual amount of money he made each day
\n" ); document.write( " $\"+192%2Fd+%2B+8+\"$ = the amount of money he made each day plus $8
\n" ); document.write( "------------
\n" ); document.write( "given:
\n" ); document.write( "( daily earnings + $8 ) = ( daily earnings ) x ( 2 less days worked )
\n" ); document.write( " $\"+192%2Fd+%2B+8+=++192+%2F+%28d-2%29++\"$
\n" ); document.write( "Multiply both sides by $\"+d%2A%28+d+-+2+%29+\"$
\n" ); document.write( " $\"+192%2A%28+d-2+%29+%2B+8%2Ad%2A%28+d-2+%29++=+192d+\"$
\n" ); document.write( " $\"+192d+-+384+%2B+8d%5E2+-+16d+=+192d+\"$
\n" ); document.write( " $\"+8d%5E2+-+16d+=+384+\"$
\n" ); document.write( " $\"+d%5E2+-+2d+=+48+\"$
\n" ); document.write( "Complete the square
\n" ); document.write( " $\"+d%5E2+-+2d+%2B+%28-2%2F2%29%5E2+=+48+%2B+%28-2%2F2%29%5E2+\"$
\n" ); document.write( " $\"+d%5E2+-+2d+%2B+1+=+49+\"$
\n" ); document.write( " $\"+%28+d+-+1+%29%5E2+=+7%5E2+\"$
\n" ); document.write( " $\"+d+-+1+=+7+\"$
\n" ); document.write( " $\"+d+=+8+\"$
\n" ); document.write( "He worked 8 days
\n" ); document.write( "check:
\n" ); document.write( " $\"+192%2Fd+%2B+8+=++192+%2F+%28d-2%29++\"$
\n" ); document.write( " $\"+192%2F8+%2B+8+=++192+%2F+%288-2%29++\"$
\n" ); document.write( " $\"+24+%2B+8+=+192%2F6+\"$
\n" ); document.write( " $\"+32+=+32+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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