document.write( "Question 1181288: Garrett's coin bank contains 500 nickels, dimes, and quarters. He has the same number of nickels as dimes and a total value of $72.50. How many quarters does he have? \n" ); document.write( "

Algebra.Com's Answer #811158 by ikleyn(52908) $\"\"$ $\"About$

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document.write( "x nickels\r\n" );
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document.write( "x dimes\r\n" );
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document.write( "and the rest (500-2x) coins are quarters.\r\n" );
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document.write( "Keeping it in mind, you write the total money equation\r\n" );
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document.write( "    5x + 10x + 25(500-2x) = 7250  cents.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    5x + 10x - 50x + 25*500 = 7250\r\n" );
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document.write( "    25*500 - 7250 = 50x - 5x - 10x\r\n" );
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document.write( "    52500 = 35x\r\n" );
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document.write( "      x =  = 150.\r\n" );
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document.write( "ANSWER.  The number of quarters is  500 - 2*150 = 200.\r\n" );
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