document.write( "Question 158114: A change maching contains nickels,dimes, and quarters. There are 75 coins in the machine, and the value of the coins is $7.25. There are 5 times as many nickels as dimes. Find the number of coins of each type in the machine. \n" ); document.write( "
Algebra.Com's Answer #116510 by Edwin McCravy(20060)\"\" \"About 
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A change maching contains nickels,dimes, and quarters. There are 75 coins in the machine, and the value of the coins is $7.25. There are 5 times as many nickels as dimes. Find the number of coins of each type in the machine.
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document.write( ">>...There are 75 coins in the machine...<<\r\n" );
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document.write( "\"N+%2B+D+%2B+Q+=+75\"\r\n" );
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document.write( ">>...the value of the coins is $7.25...<<\r\n" );
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document.write( "\".05N+%2B.10D+%2B+.25Q+=+7.25\" \r\n" );
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document.write( "We remove the decimals by multiplying through\r\n" );
document.write( "by 100:\r\n" );
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document.write( "\"5N%2B10D%2B25Q=725\"\r\n" );
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document.write( "We can also simplify it further by dividing\r\n" );
document.write( "through by \"5\"\r\n" );
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document.write( "\"N%2B2D%2B5Q=145\"\r\n" );
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document.write( ">>...There are 5 times as many nickels as dimes...<<\r\n" );
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document.write( "\"N=5D\"\r\n" );
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document.write( "So we have this system of equations:\r\n" );
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document.write( "\"system%28N%2BD%2BQ=75%2CN%2B2D%2B5Q=145%2CN=5D%29\"\r\n" );
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document.write( "Can you solve that system?  If not post again\r\n" );
document.write( "asking how.\r\n" );
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document.write( "Solution:  \r\n" );
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document.write( "50 nickels, 10 dimes, 15 quarters\r\n" );
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document.write( "Edwin
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