document.write( "Question 922151: Mary has $2.35 in nickels and dimes. if she has 22 coins in all, find the number of nickels and dimes. \n" ); document.write( "
Algebra.Com's Answer #559424 by Edwin McCravy(20056) $\"\"$ $\"About$
You can put this solution on YOUR website!
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document.write( "No solution!  Here's why:\r\n" );
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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 22-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" );
document.write( "-------------------------------------------\r\n" );
document.write( "NICKELS      x        $0.05    $0.05x \r\n" );
document.write( "DIMES      22-x       $0.10    $0.10(22-x)\r\n" );
document.write( "-------------------------------------------\r\n" );
document.write( "TOTALS      22        -----    $2.35\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" );
document.write( "0.05x + 0.10(22-x) = 2.35\r\n" );
document.write( "Get rid of decimals by multiplying every term by 100\r\n" );
document.write( "     5x + 10(22-x) = 235\r\n" );
document.write( "    5x + 220 - 10x = 235\r\n" );
document.write( "         -5x + 220 = 235\r\n" );
document.write( "               -5x = 15\r\n" );
document.write( "                 x = -3 = the number of nickels\r\n" );
document.write( "The number of dimes is 22-x or 22-(-3) or 25 dimes.\r\n" );
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document.write( "Checking:  -3 nickels is -$0.15 and 25 dimes is $2.50\r\n" );
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document.write( "And -$0.15+2.50 = $2.35.  \r\n" );
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document.write( "However, the number of nickels cannot be negative, so\r\n" );
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document.write( "THERE IS NO SOLUTION.\r\n" );
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document.write( "Further reason for \"no solution.  Here are all the ways you\r\n" );
document.write( "can have 22 coins in nickels and dimes.  You can see that\r\n" );
document.write( "none of them add up to $2.35. The most you can have is $2.15\r\n" );
document.write( "and the least you can have is $1.15.  So either you copied\r\n" );
document.write( "the problem wrong o else the answer is \"no solution\".\r\n" );
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document.write( "1 nickel and 21 dimes is $2.15.\r\n" );
document.write( "2 nickels and 20 dimes is $2.10.\r\n" );
document.write( "3 nickels and 19 dimes is $2.05.\r\n" );
document.write( "4 nickels and 18 dimes is $2.00.\r\n" );
document.write( "5 nickels and 17 dimes is $1.95.\r\n" );
document.write( "6 nickels and 16 dimes is $1.90.\r\n" );
document.write( "7 nickels and 15 dimes is $1.85.\r\n" );
document.write( "8 nickels and 14 dimes is $1.80.\r\n" );
document.write( "9 nickels and 13 dimes is $1.75.\r\n" );
document.write( "10 nickels and 12 dimes is $1.70.\r\n" );
document.write( "11 nickels and 11 dimes is $1.65.\r\n" );
document.write( "12 nickels and 10 dimes is $1.60.\r\n" );
document.write( "13 nickels and 9 dimes is $1.55.\r\n" );
document.write( "14 nickels and 8 dimes is $1.50.\r\n" );
document.write( "15 nickels and 7 dimes is $1.45.\r\n" );
document.write( "16 nickels and 6 dimes is $1.40.\r\n" );
document.write( "17 nickels and 5 dimes is $1.35.\r\n" );
document.write( "18 nickels and 4 dimes is $1.30.\r\n" );
document.write( "19 nickels and 3 dimes is $1.25.\r\n" );
document.write( "20 nickels and 2 dimes is $1.20.\r\n" );
document.write( "21 nickels and 1 dime is $1.15.\r\n" );
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document.write( "Edwin
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