document.write( "Question 979813: A family has a coin jar that is now full. The children count the change and calculate the total value to be $44.08. Let Q represent the number of quarters and use \r
\n" ); document.write( "\n" ); document.write( " the information below to find the number of each coin.\r
\n" ); document.write( "\n" ); document.write( "There are:
\n" ); document.write( "151 more dimes than quarters
\n" ); document.write( "8 times as many nickels as quarters
\n" ); document.write( "15 more than 18 times as many pennies as quarters\r
\n" ); document.write( "\n" ); document.write( "In the jar there was:
\n" ); document.write( "Quarters,
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Algebra.Com's Answer #601132 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!
A family has a coin jar that is now full. The children count the change and calculate the total value to be $44.08. \r
\n" ); document.write( "\n" ); document.write( "Let Q represent the number of quarters and use
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document.write( "Let's also let each coin be represented by the 1st letter in the spelling of\r\n" );
document.write( "the coin:\r\n" );
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\n" ); document.write( "The children count the change and calculate the total value to be $44.08,
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document.write( "that's the same as 4408 cents.\r\n" );
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document.write( "25Q + 10D + 5N + P = 4408 \r\n" );
document.write( "

\n" ); document.write( "There are:
\n" ); document.write( "151 more dimes than quarters
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\r\n" );
document.write( "D = Q + 151\r\n" );
document.write( "

\n" ); document.write( "8 times as many nickels as quarters
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document.write( "N = 8Q\r\n" );
document.write( "

\n" ); document.write( "15 more than 18 times as many pennies as quarters
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document.write( "P = 18Q + 15\r\n" );
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document.write( "25Q + 10D + 5N + P = 4408\r\n" );
document.write( "D = Q + 151\r\n" );
document.write( "N = 8Q\r\n" );
document.write( "P = 18Q + 15\r\n" );
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document.write( "In the first equation substitute for D, N, and P\r\n" );
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document.write( "25Q +     10D     +  5N   +     P    = 4408\r\n" );
document.write( " |         |          |         |    |   |\r\n" );
document.write( "25Q + 10(Q + 151) + 5(8Q) + 18Q + 15 = 4408\r\n" );
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document.write( "Solve that equation for Q, then find D, N, and P by substituting \r\n" );
document.write( "what you get for Q in these three equations:\r\n" );
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document.write( "D = Q + 151\r\n" );
document.write( "N = 8Q\r\n" );
document.write( "P = 18Q + 15\r\n" );
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document.write( "I won't tell you the answers but there are 1034 coins total.  So\r\n" );
document.write( "when you get your answers add them up and see if you get 1034.\r\n" );
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document.write( "Edwin

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