document.write( "Question 927750: Emily has a total of 20 dimes and nickels. The total amount she has is $1.60. How many of each coin does she have? \n" ); document.write( "

Algebra.Com's Answer #563241 by Edwin McCravy(20060) $\"\"$ $\"About$

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Emily has a total of 20 dimes and nickels. The total amount she has is $1.60. How many of each coin does she have?
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document.write( "Let the number of nickels be x\r\n" );
document.write( "Then the number of dimes, using\r\n" );
document.write( "ONE PART = TOTAL MINUS OTHER PART,\r\n" );
document.write( "is 20-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( "DIMES      20-x       $0.10    $0.10(20-x)\r\n" );
document.write( "-------------------------------------------\r\n" );
document.write( "TOTALS      20        -----    $1.60\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 + 0.10(20-x) = 1.60\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 + 10(20-x) = 160\r\n" );
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document.write( "    5x + 200 - 10x = 160\r\n" );
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document.write( "         -5x + 200 = 160\r\n" );
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document.write( "               -5x = -40\r\n" );
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document.write( "                 x = 8 = the number of nickels\r\n" );
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document.write( "The number of dimes is 20-x or 20-8 or 12 dimes.\r\n" );
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document.write( "Checking:  8 nickels is $0.40 and 12 dimes is $1.20\r\n" );
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document.write( "And indeed $0.40+$1.20 = $1.60.\r\n" );
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document.write( "Edwin

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