document.write( "Question 924214: Kevin and Randy Muise have a jar containing 79 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $10.35. How many of each type of coins do they have? \n" ); document.write( "

Algebra.Com's Answer #560729 by Edwin McCravy(20059) $\"\"$ $\"About$

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Kevin and Randy Muise have a jar containing 79 coins, all of which are either
\n" ); document.write( "quarters or nickels. The total value of the coins in the jar is $10.35. How many
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document.write( "Let the number of nuckels be N\r\n" );
document.write( "Let the number of dimes be Q   \r\n" );
document.write( "                      Value      Value\r\n" );
document.write( "Type       Number       of         of\r\n" );
document.write( " of          of        EACH       ALL\r\n" );
document.write( "coin        coins      coin      coins\r\n" );
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document.write( "NICKELS      N        $0.05    $0.05N \r\n" );
document.write( "QUARTERS     Q        $0.25    $0.25Q\r\n" );
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document.write( "TOTALS      79        -----    $10.35\r\n" );
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document.write( " The equations comes from the \"Number of coins\" column \r\n" );
document.write( "and the \"Value of ALL coins\" column:\r\n" );
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document.write( "Get rid of decimals in the second by multiplying \r\n" );
document.write( "every term by 100\r\n" );
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document.write( "      5N + 25Q = 1035\r\n" );
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document.write( "Solve the first for N\r\n" );
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document.write( "N+Q=79\r\n" );
document.write( "  N=79-Q\r\n" );
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document.write( "Substitute in\r\n" );
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document.write( "       5N + 25Q = 1035\r\n" );
document.write( "  5(79-N) + 25Q = 1035\r\n" );
document.write( "   395-5Q + 25Q = 1035\r\n" );
document.write( "        395+20Q = 1035\r\n" );
document.write( "            20Q =  640 \r\n" );
document.write( "              Q =   32 quarters\r\n" );
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document.write( "              N = 79-Q = 79-32 = 47 nickels\r\n" );
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document.write( "Edwin

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