document.write( "Question 1001009: Mart has $4.10 in nickels, dimes, and quarters. She has four more
\n" ); document.write( "quarters than dines. She has three times as many nickels as quarters.
\n" ); document.write( "How many of each coin does she have? \n" ); document.write( "
Algebra.Com's Answer #618319 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Mart has $4.10 in nickels, dimes, and quarters. She has four more
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\n" ); document.write( "How many of each coin does she have?
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document.write( "Notice that I changed only the numbers in your problem.  That's because\r\n" );
document.write( "I didn't want to do your homework for you.  All you have to do is do\r\n" );
document.write( "yours exactly as I did this one, step by step. \r\n" );
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\n" ); document.write( "Mart has 4.10 in nickels, dimes, and quarters.
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\r\n" );
document.write( "  0.05N + 0.10D + 0.25Q = 4.10\r\n" );
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\n" ); document.write( "She has four more quarters than dines.
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document.write( "                      Q = D + 4\r\n" );
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\n" ); document.write( "She has three times as many nickels as quarters.
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document.write( "                      N = 3Q\r\n" );
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document.write( "So we have three equations and 3 unknowns:\r\n" );
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document.write( "  0.05N + 0.10D + 0.25Q = 4.10\r\n" );
document.write( "                      Q = D + 4\r\n" );
document.write( "                      N = 3Q\r\n" );
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document.write( "Multiply first equation by 100 to remove decimals\r\n" );
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document.write( "         5N + 10D + 25Q = 410\r\n" );
document.write( "                      Q = D + 4\r\n" );
document.write( "                      N = 3Q \r\n" );
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document.write( "Solve the second equation for D\r\n" );
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document.write( "                      Q = D + 4\r\n" );
document.write( "                  Q - 4 = D\r\n" );
document.write( "                      D = Q - 4\r\n" );
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document.write( "Substitute N = 3Q and D = Q - 4 into\r\n" );
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document.write( "         5N + 10D + 25Q = 410\r\n" );
document.write( "5(3Q) + 10(Q - 4) + 25Q = 410\r\n" );
document.write( "   15Q + 10Q - 40 + 25Q = 410\r\n" );
document.write( "               50Q - 40 = 410\r\n" );
document.write( "                    50Q = 450\r\n" );
document.write( "                      Q = 9\r\n" );
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document.write( "Substitute Q = 9 into \r\n" );
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document.write( "                      D = Q - 4\r\n" );
document.write( "                      D = 9 - 4\r\n" );
document.write( "                      D = 5\r\n" );
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document.write( "Substitute Q = 9 into N = 3Q\r\n" );
document.write( "                      N = 3(9)\r\n" );
document.write( "                      N = 27\r\n" );
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document.write( "So Mart has 9 quarters, 5 dimes and 27 nickels.\r\n" );
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document.write( "Checking:\r\n" );
document.write( "

\n" ); document.write( "Mart has $4.10 in nickels, dimes, and quarters.
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\r\n" );
document.write( "9 quarters =  9($0.25) = $2.25\r\n" );
document.write( "5 dimes    =  5($0.10) = $0.50\r\n" );
document.write( "27 nickels = 27($0.05) = $1.35\r\n" );
document.write( "------------------------------\r\n" );
document.write( "                         $4.10\r\n" );
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document.write( "That checks:\r\n" );
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\n" ); document.write( "She has 4 more quarters than dines.
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document.write( "She has 9 quarters and 5 dimes, and 9 is 4 more than 5.\r\n" );
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document.write( "That checks.\r\n" );
document.write( "

\n" ); document.write( "She has three times as many nickels as quarters.
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\r\n" );
document.write( "She has 27 nickels and 9 quarters, and 27 is three times 9.\r\n" );
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document.write( "That checks.\r\n" );
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document.write( "Now do yours the exactly same way, step by step.\r\n" );
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document.write( "Edwin
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