document.write( "Question 1205719: Katie has a collection of nickels, dimes and quarters with a total value of $6.80. There are 5 more dimes than nickels and 6 more quarters than nickels, how many of each coin does she have? \n" ); document.write( "

Algebra.Com's Answer #842706 by ikleyn(52782) $\"\"$ $\"About$

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\n" ); document.write( "Katie has a collection of nickels, dimes and quarters with a total value of $6.80.
\n" ); document.write( "There are 5 more dimes than nickels and 6 more quarters than nickels, how many of each coin does she have?
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document.write( "Let x be the number of nickels;\r\n" );
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document.write( "then the number of dimes is (x+5) and the number of quarters is (x+6).\r\n" );
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document.write( "Write the total money equation in cents\r\n" );
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document.write( "    5x + 10*(x+5) + 25*(x+6) = 680 cents.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    5x + 10x + 50 + 25x + 150 = 680\r\n" );
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document.write( "    5x + 10x + 25x = 680 - 50 - 150\r\n" );
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document.write( "         40x       =      480\r\n" );
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document.write( "           x       =      480/40 = 12.\r\n" );
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document.write( "ANSWER.  There are 12 nickels,  12+5 = 17 dimes  and  12+6 = 18 quarters.\r\n" );
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document.write( "CHECK.   12*5 + 17*10 + 18*25 = 680 cents, total.    ! correct !\r\n" );
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