document.write( "Question 1166534: A collection of dimes and nickels is worth $1.70. There are 21 coins in all. How many each coin are there?\r
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Algebra.Com's Answer #791043 by ikleyn(52873) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Let x be the number of dimes.\r\n" );
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document.write( "Then the number of nickels is (21-x) coins.\r\n" );
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document.write( "With it, we can write the total money equation\r\n" );
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document.write( "    10x + 5*(21-x) = 170 cents\r\n" );
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document.write( "(5 is standing for the dimes worth and 10 stands for the dimes worth).\r\n" );
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document.write( "From the equation,  \r\n" );
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document.write( "    10x + 105 - 5x = 170\r\n" );
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document.write( "    10x - 5x = 170 - 105\r\n" );
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document.write( "    5x       = 65\r\n" );
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document.write( "     x       = 65/5 = 13.\r\n" );
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document.write( "ANSWER.  13 dimes and the rest coins (21-13) = 8 are nickels.\r\n" );
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document.write( "CHECK.   13*10 + 8*5 = 170 centsa = $1.70.   ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "There are other ways to solve the problem, but this one is one of the standard Algebra methods.\r
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\n" ); document.write( "\n" ); document.write( "To see other way, look into the lessons\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( "    - Advanced 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( "    - Non-typical coin problems \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,
\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( "A convenient place to quickly observe these lessons from a \"bird flight height\" (a top view) is the last lesson in the list.\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( "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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