document.write( "Question 1093877: A pile of 55 coins, consisting of nickels and dimes, is worth $3.90. Find the number of each.
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Algebra.Com's Answer #708490 by ikleyn(52805) $\"\"$ $\"About$

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document.write( " N +   D =  55   coins   (1)   (N stands for nickels,\r\n" );
document.write( "5N + 10D = 390   cents   (2)    D stands for dimes)\r\n" );
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document.write( "Simplify (2) by canceling the factor 5 in both sides:\r\n" );
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document.write( " N  + 2D =  78           (3)\r\n" );
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document.write( "Subtract eq(1) from eq(3). You will get\r\n" );
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document.write( "D = 78 - 55 = 23.\r\n" );
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document.write( "Answer.  23 dimes and 55-23 = 32 nickels.\r\n" );
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document.write( "Check.   23*10 + 32*5 = 390 cents.  ! correct ! \r\n" );
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\n" ); document.write( "\n" ); document.write( "For coin problems and their detailed solutions see the lessons in this site:\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( "    - Solving coin problems mentally by grouping without using equations\r
\n" ); document.write( "\n" ); document.write( "    - Santa Claus helps solving coin problem\r
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\n" ); document.write( "\n" ); document.write( "You will find there the lessons for all levels - from introductory to advanced,
\n" ); document.write( "and for all methods used - from one equation to two equations and even without equations. \r
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\n" ); document.write( "\n" ); document.write( "Read them attentively and become an expert in this field.\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( "The referred lessons are the part of this online textbook under the topic \"Coin problems\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I\r
\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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