document.write( "Question 265991: Which coins are in a piggy bank if all but 2 are nickels, all but 2 are dimes, and all but 2 are quarters? \n" ); document.write( "

Algebra.Com's Answer #195485 by Edwin McCravy(20059) $\"\"$ $\"About$

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Which coins are in a piggy bank if all but 2 are nickels, all but 2 are dimes, and all but 2 are quarters?
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document.write( "Suppose there are n nickels, d dimes, and q quarters in the bank.\r\n" );
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document.write( "Then,\r\n" );
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document.write( "since all but two are nickels,\r\n" );
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document.write( "n+d+q-2=n \r\n" );
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document.write( "or\r\n" );
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document.write( "d+q=2\r\n" );
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document.write( "since all but two are dimes,\r\n" );
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document.write( "n+d+q-2=d \r\n" );
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document.write( "or\r\n" );
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document.write( "n+q=2\r\n" );
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document.write( "And since all but two are quarters,\r\n" );
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document.write( "n+d+q-2=q \r\n" );
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document.write( "or\r\n" );
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document.write( "n+d=2\r\n" );
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document.write( "We have this system of three equations and 3 unknowns:\r\n" );
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document.write( "Solve that system and get n=1, d=1, and q=1.\r\n" );
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document.write( "So you have 1 of each.  You should have been able\r\n" );
document.write( "to figure that out in your head, right?  :-)\r\n" );
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document.write( "Edwin

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