document.write( "Question 1105490: If Damien has 12 nickels and dimes in his pocket, and they have a combined value of 80 cents, how many of each coin does he have?\r
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Algebra.Com's Answer #720317 by ikleyn(52908) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Let N be the number of nickels.\r\n" );
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document.write( "Then 12-N is the number of dimes.\r\n" );
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document.write( "Nickels contribute 5N        cents to the total.\r\n" );
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document.write( "Dimes   contribute 10*(12-N) cents to the total.\r\n" );
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document.write( "The \"money\" equation for the total is\r\n" );
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document.write( "5N + 10*(12-N) = 80   cents\r\n" );
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document.write( "5N + 120 - 10N = 80\r\n" );
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document.write( "-5N = 80-120 = -40  ====>  N =  = 8.\r\n" );
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document.write( "Answer.  8 nickels and  12-8 = 4 dimes.\r\n" );
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document.write( "Check.   8*5 + 4*10 = 80 cents.   ! Correct !\r\n" );
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\n" ); document.write( "There is entire bunch of 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( "    - Three methods for solving standard (typical) coin word problems\r
\n" ); document.write( "\n" ); document.write( "    - More complicated coin problems\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
\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on coin word problems\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "You will find there the lessons for all levels - from introductory to advanced,
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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( "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
\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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