document.write( "Question 933954: josh has 25 coins. these are nickels and dimes. if he has 1.95 dollars, how many of each will he have \n" ); document.write( "

Algebra.Com's Answer #567144 by Edwin McCravy(20056) $\"\"$ $\"About$

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josh has 25 coins. these are nickels and dimes. if he has 1.95 dollars, how many of each will he 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 25-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      25-x       $0.10    $0.10(25-x)\r\n" );
document.write( "-------------------------------------------\r\n" );
document.write( "TOTALS      25        -----    $1.95\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(25-x) = 1.95\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(25-x) = 195\r\n" );
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document.write( "    5x + 250 - 10x = 195\r\n" );
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document.write( "         -5x + 250 = 195\r\n" );
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document.write( "               -5x = -55\r\n" );
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document.write( "                 x = 11 = the number of nickels\r\n" );
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document.write( "The number of dimes is 25-x or 25-11 or 14 dimes.\r\n" );
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document.write( "Checking:  11 nickels is $0.55 and 14 dimes is $1.40\r\n" );
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document.write( "And indeed $0.55+$1.40 = $1.95.\r\n" );
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document.write( "Edwin

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