document.write( "Question 1100038: There are some nickels, dimes, and quarters in a large piggy bank.
\n" ); document.write( "For every 2 nickels, there are 3 dimes.
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Algebra.Com's Answer #714513 by ikleyn(52798) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "n + d + q = 500,   (1)\r\n" );
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document.write( "2n = 3d            (2)      (\"For every 2 nickels, there are 3 dimes.\")\r\n" );
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document.write( "2d = 5q            (3)      (\"For every 2 dimes, there are 5 quarters.\")\r\n" );
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document.write( "From (2),  n = .\r\n" );
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document.write( "From (3),  q = .\r\n" );
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document.write( "Substitute  (4)  and  (5) into (1).  You will get\r\n" );
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document.write( " + d +  = 500.\r\n" );
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document.write( "Multiply by 2 both sides:\r\n" );
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document.write( "3d + 2d + 5d = 1000  ===>  10d = 1000  ====>  d =  = 100.\r\n" );
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document.write( "Answer.  100 dimes,  150 nickels  and  250  quarters.\r\n" );
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\n" ); document.write( "O-o-o-p-s !\r
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\n" ); document.write( "\n" ); document.write( "The other tutor CORRECTLY DETERMINED that the above solution is wrong.\r
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\n" ); document.write( "\n" ); document.write( "I agree, it is WRONG !\r
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\n" ); document.write( "\n" ); document.write( "So, below I place the corrected solution. Thanks, @richwmiller !
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document.write( "n + d + q = 500,   (1)\r\n" );
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document.write( " =             (2)      (\"For every 2 nickels, there are 3 dimes.\")\r\n" );
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document.write( " =             (3)      (\"For every 2 dimes, there are 5 quarters.\")\r\n" );
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document.write( "From (2),  n = .\r\n" );
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document.write( "From (3),  q = .\r\n" );
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document.write( "Substitute  (4)  and  (5) into (1).  You will get\r\n" );
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document.write( " + d +  = 500.\r\n" );
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document.write( "Multiply by 6 both sides:\r\n" );
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document.write( "4d + 6d + 15d = 3000  ===>  25d = 3000  ====>  d =  = 120.\r\n" );
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document.write( "Answer.  120 dimes,   = 80 nickels  and   = 300 quarters.\r\n" );
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