document.write( "Question 1021560: A collection of quarters and nickels is worth $3.80. There are 24 coins in all. How many of each are there?\r
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Algebra.Com's Answer #637298 by ikleyn(52864) $\"\"$ $\"About$

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\n" ); document.write( "A collection of quarters and nickels is worth $3.80. There are 24 coins in all. How many of each are there?
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document.write( " n +   q =  24,    (1)   (counting coins, nickels n and quarters q)\r\n" );
document.write( "5n + 25q = 380.    (2)   (counting money in cents)\r\n" );
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document.write( "Express n = 24-q from (1) and substitute it into (2). You will get a single equation for q\r\n" );
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document.write( "5(24-q) + 25q = 380.\r\n" );
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document.write( "Simplify and solve it:\r\n" );
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document.write( "120 - 5q + 25q = 380,\r\n" );
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document.write( "20q = 380-120\r\n" );
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document.write( "20q = 260,\r\n" );
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document.write( "q =  = 13.\r\n" );
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document.write( "Answer. 13 quarters and 24-13 = 11 nickels.\r\n" );
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document.write( "Check.  11*5 + 13*25 = 380.\r\n" );
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