document.write( "Question 936304: Mark has 45 cents in dimes and nickels. He has 3 more nickels than dimes. How many of each type of coin does Mark have? Write a system of equations, then solve. \n" ); document.write( "
Algebra.Com's Answer #569743 by AnlytcPhil(1806)\"\" \"About 
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Mark has 45 cents in dimes and nickels. He has 3 more nickels than dimes. How many of each type of coin does Mark have? Write a system of equations, then solve.
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document.write( "Let the number of nickels be x\r\n" );
document.write( "Let the number of dimes be y \r\n" );
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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        y        $0.10    $0.10y\r\n" );
document.write( "-------------------------------------------\r\n" );
document.write( "                         TOTAL $0.45\r\n" );
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\n" ); document.write( "He has 3 more nickels than dimes.
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document.write( "  \"%28matrix%283%2C1%2CNumber%2Cof%2Cnickels%29%29\"\"%22%22=%22%22\"\"%28matrix%283%2C1%2CNumber%2Cof%2Cdimes%29%29\"\"%22%22%2B%22%22\"\"3%29%29\"\r\n" );
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document.write( "        x = y + 3\r\n" );
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document.write( "That's the first equation.  To get the second equation:\r\n" );
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document.write( "  \"%28matrix%284%2C1%2CValue%2Cof%2CALL%2Cnickels%29%29\"\"%22%22%2B%22%22\"\"%28matrix%284%2C1%2CValue%2Cof%2CALL%2Cdimes%29%29\"\"%22%22=%22%22\"\"%28matrix%284%2C1%2CTotal%2Cvalue%2Cof%2Ccoins%29%29\"\r\n" );
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document.write( "            x = y + 3\r\n" );
document.write( "0.05x + 0.10y = 0.45  \r\n" );
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document.write( "Get rid of decimals by multiplying every term of 2nd \r\n" );
document.write( "equation by 100\r\n" );
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document.write( "              x = y + 3\r\n" );
document.write( "       5x + 10y = 45\r\n" );
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document.write( "Substitute y + 3 for x in the second equation:\r\n" );
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document.write( " 5(y + 3) + 10y = 45\r\n" );
document.write( "  5y + 15 + 10y = 45\r\n" );
document.write( "       15y + 15 = 45\r\n" );
document.write( "            15y = 30\r\n" );
document.write( "              y = 2\r\n" );
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document.write( "Substitute 2 for y in  \r\n" );
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document.write( "              x = 2 + 3 \r\n" );
document.write( "              x = 5\r\n" );
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document.write( "So he has 5 nickels and 2 dimes. \r\n" );
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document.write( "Edwin
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