document.write( "Question 1050880: A newspaper carrier has $4.10 in change. He has four more quarters than dimes but two times as many nickels as quarters. How many coins of each type does he have? \n" ); document.write( "

Algebra.Com's Answer #666527 by ikleyn(52879) $\"\"$ $\"About$

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\n" ); document.write( "A newspaper carrier has $4.10 in change. He has four more quarters than dimes but two times as many nickels as quarters.
\n" ); document.write( "How many coins of each type does he have?
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document.write( "Let Q be the number of quarters.\r\n" );
document.write( "Then the number of dimes is (Q-4)  (\"He has four more quarters than dimes\")\r\n" );
document.write( "and the number of nickels is 2Q.\r\n" );
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document.write( "Quarters contribute 25*Q     cents to the total.\r\n" );
document.write( "Dimes    contribute 10*(Q-4) cents to the total.\r\n" );
document.write( "Nickels contribute   5*(2Q)  cents to the total.\r\n" );
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document.write( "The \"value\" equation is \r\n" );
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document.write( "25Q + 10*(Q-4) + 5*(2Q) = 410 cents,   or\r\n" );
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document.write( "25Q + 10Q - 40 + 10Q = 410,   or\r\n" );
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document.write( "25Q + 10Q + 10Q = 410 + 40,  or\r\n" );
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document.write( "45Q = 450   --->  Q =  = 10.\r\n" );
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document.write( "Answer.  10 quarters, 25-4 = 21 dimes and 20 nickels.\r\n" );
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\n" ); document.write( "\n" ); document.write( "There is entire bunch of the lessons on coin problems\r
\n" ); document.write( "\n" ); document.write( "    - Coin problems\r
\n" ); document.write( "\n" ); document.write( "    - More Coin problems\r
\n" ); document.write( "\n" ); document.write( "    - Solving coin problems without using equations\r
\n" ); document.write( "\n" ); document.write( "    - Kevin and Randy Muise have a jar containing coins\r
\n" ); document.write( "\n" ); document.write( "    - Typical coin problems from the archive\r
\n" ); document.write( "\n" ); document.write( "    - More complicated coin problems\r
\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on coin word problems\r
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\n" ); document.write( "\n" ); document.write( "Read them and become an expert in solution of coin problems.\r
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\n" ); document.write( "\n" ); document.write( "It contains many other solved word problems, as well as many other interesting and useful things.\r
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