document.write( "Question 968897: I have 14 coins, dimes and nickels, for a total of $1.00. How many of each do I have? \n" ); document.write( "

Algebra.Com's Answer #591994 by Edwin McCravy(20056) $\"\"$ $\"About$

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document.write( "Let the number of dimes be x\r\n" );
document.write( "Then the number of nickels, using\r\n" );
document.write( "ONE PART = TOTAL MINUS OTHER PART,\r\n" );
document.write( "is 14-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( "dimes       x          $0.10   $0.10x\r\n" );
document.write( "nickels   14-x         $0.05   $0.05(14-x)\r\n" );
document.write( "-------------------------------------------\r\n" );
document.write( "TOTALS      14        -----    $1.00\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( "   0.10x + 0.05(14-x) = 10\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( "        10x + 5(14-x) = 100\r\n" );
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document.write( "        10x + 70 - 5x = 100\r\n" );
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document.write( "              5x + 70 = 100\r\n" );
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document.write( "                   5x = 30\r\n" );
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document.write( "                    x = 6 = the number of dimes.\r\n" );
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document.write( "The number of nickels is 14-x or 14-6 or 8 nickels.\r\n" );
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document.write( "Checking:  6 dimes is $0.60 and 8 nickels is $0.40\r\n" );
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document.write( "            And indeed $0.60 + $0.40 = $1.00\r\n" );
document.write( "Edwin

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