document.write( "Question 1038983: A cash register contains a total of $580 in bills. It has 76 bills consisting of $5 bills and $10 bills. How many of each type does he have? \n" ); document.write( "

Algebra.Com's Answer #653706 by ikleyn(52786) $\"\"$ $\"About$

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\n" ); document.write( "A cash register contains a total of $580 in bills. It has 76 bills consisting of $5 bills and $10 bills. How many of each type does he have?
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document.write( "Let  f = # of  $5  bills.\r\n" );
document.write( "Then the number of $10 bills is (76-f).\r\n" );
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document.write( " $5 bills contribute 5f        dollars to the total.\r\n" );
document.write( "$10 bills contribute 10*(76-f) dollars to the total.\r\n" );
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document.write( "The total is 5f + 10*(76-f)  dollars.\r\n" );
document.write( "From the other side, the total is $580.\r\n" );
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document.write( "Therefore, you have an equation\r\n" );
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document.write( "5f + 10*(76-f) = 580.\r\n" );
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document.write( "Simplify and solve:\r\n" );
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document.write( "5f + 760 - 10f = 580,\r\n" );
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document.write( "-5f = 580 - 760,\r\n" );
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document.write( "-5f = -180.\r\n" );
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document.write( "f =  = 36.\r\n" );
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document.write( "There are 36 of $5 bills and 76-36 = 40 of $10 bills.\r\n" );
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document.write( "Check.  36*5 + 40*10 = 180 + 400 = 580.   Correct!\r\n" );
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document.write( "Answer.  There are 36 of $5 bills and 40 of $10 bills.\r\n" );
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