document.write( "Question 1066459: Alvin has 20 coins consisting of nickels and quarters. If the value of the coins is $4.40, how many nickels does Alvin have? \n" ); document.write( "

Algebra.Com's Answer #681638 by ikleyn(52834) $\"\"$ $\"About$

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.Alvin has 20 coins consisting of nickels and quarters. If the value of the coins is $4.40, how many nickels does Alvin have?
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document.write( "Let N be the number of nickels.\r\n" );
document.write( "Then the number of quarters is (20-N).\r\n" );
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document.write( "Nickels contribute 5N cents to the total.\r\n" );
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document.write( "Quarters contribute 25*(20-N) cents to the total.\r\n" );
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document.write( "THe \"value\" equation is\r\n" );
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document.write( "5N + 25*(20-N) = 440 cents.\r\n" );
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document.write( "5N + 500 - 25N = 440,\r\n" );
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document.write( "-20N = 440 - 500  --->  -20N = -60  --->  N=  = 3.\r\n" );
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document.write( "Answer. 3 Nickels and 20-3 = 17 quarters.\r\n" );
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