document.write( "Question 1046624: There is a collection of nickels, dimes, and quarters with total value of $47.60. There are 28 more dimes than nickels. There are 5 times as many quarters as dimes. How many quarters are in the collection? \n" ); document.write( "

Algebra.Com's Answer #662072 by ikleyn(52777) $\"\"$ $\"About$

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\n" ); document.write( "There is a collection of nickels, dimes, and quarters with total value of $47.60.
\n" ); document.write( "There are 28 more dimes than nickels. There are 5 times as many quarters as dimes.
\n" ); document.write( "How many quarters are in the collection?
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document.write( "Let \"d\" be the number of dimes.\r\n" );
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document.write( "Then the number of quarters is 5d,\r\n" );
document.write( "and the number of nickels is d-28, according to the condition.\r\n" );
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document.write( "Hence, the total in cents is\r\n" );
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document.write( "10d + 25*(5d) + 5*(d-28) = 4760,  or\r\n" );
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document.write( "10d + 125d + 5d - 140 = 4760,  or\r\n" );
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document.write( "140d = 4760 + 140,\r\n" );
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document.write( "d =  = 35.\r\n" );
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document.write( "So, there are 35 dimes in the collection.\r\n" );
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document.write( "Then the number of quarters is 5*35 = 175 and the number of nickels is 35 - 28 = 7.\r\n" );
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document.write( "Check.  5*7 + 10*35 + 25*175 = 4760.   Correct !\r\n" );
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document.write( "Answer. 7 nickels, 35 dimes and 175 quarters.\r\n" );
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\n" ); document.write( "\n" ); document.write( "There is a bunch of my 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( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Read them and become an expert in counting coins.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "which contains many other word problems and many other interesting anf useful things.\r
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