document.write( "Question 1033086: A parking meter contains nickels and quarters woth $5.90. There are 62 coins in all. Find how many of each there are \n" ); document.write( "

Algebra.Com's Answer #647678 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "A parking meter contains nickels and quarters woth $5.90. There are 62 coins in all. Find how many of each there are
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document.write( "Let n = # of nickels.\r\n" );
document.write( "Then the number of quarters is (62-n).\r\n" );
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document.write( "Nickels contribute 5n cents to the total.\r\n" );
document.write( "Quarters contribute 25*(62-n).\r\n" );
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document.write( "The total is 590 cents, and the \"value equation\" is\r\n" );
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document.write( "5n + 25*(62-n) = 590.\r\n" );
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document.write( "Simplify and solve for n:\r\n" );
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document.write( "5n + 25*62 - 25n = 590,\r\n" );
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document.write( "5n + 1550 - 25n = 590,\r\n" );
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document.write( "-20n = 590 - 1550,\r\n" );
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document.write( "-20n = 960,\r\n" );
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document.write( "n =  = 48.\r\n" );
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document.write( "Answer. There are 48 nickels and 62-48 = 14 quarters.\r\n" );
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document.write( "Check.  48*5 + 14*25 = 590.\r\n" );
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