document.write( "Question 984189: 29 coins all nickels and quarters in a jar sum if the coins is 4 dollars and 45 cents. how many of each coin is there? \n" ); document.write( "

Algebra.Com's Answer #604960 by Edwin McCravy(20064) $\"\"$ $\"About$

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document.write( "Let the number of nickels be x\r\n" );
document.write( "Then the number of quarters, using\r\n" );
document.write( "ONE PART = TOTAL MINUS OTHER PART,\r\n" );
document.write( "is 29-x.\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      x        $0.05    $0.05x\r\n" );
document.write( "quarters   29-x       $0.25    $0.25(29-x)\r\n" );
document.write( "-------------------------------------------\r\n" );
document.write( "TOTALS      29      -----      $4.45\r\n" );
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document.write( " The equation comes from the column on the right\r\n" );
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document.write( "  \r\n" );
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document.write( "0.05x + 0.25(29-x) = 4.45\r\n" );
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document.write( "Get rid of decimals by multiplying every term by 100:\r\n" );
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document.write( "     5x + 25(29-x) = 445\r\n" );
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document.write( "    5x + 725 - 25x = 445\r\n" );
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document.write( "        -20x + 725 = 445\r\n" );
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document.write( "              -20x = -280\r\n" );
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document.write( "                 x = 14 = the number of nickels.\r\n" );
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document.write( "The number of quarters is 29-x or 29-14 or 15 quarters.\r\n" );
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document.write( "Checking:  14 nickels is $0.70 and 15 quarters is $3.75\r\n" );
document.write( "            That's 29 coins.\r\n" );
document.write( "            And indeed $0.70 + $3.75 = $4.45\r\n" );
document.write( "Edwin

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