document.write( "Question 1114230: word problem in algebra\r
\n" ); document.write( "\n" ); document.write( "Denise has a collection of 16 coins consisting of dimes and quarters. The total value of all her coins is $3.25. How many dimes does she have?\r
\n" ); document.write( "\n" ); document.write( "Dimes=10x
\n" ); document.write( "quarters=25x
\n" ); document.write( "total value=325\r
\n" ); document.write( "\n" ); document.write( "and I'm stumped with the rest. thank you for helping me.
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Algebra.Com's Answer #729216 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "  D +   Q =  16     (1)     (counting coins)\r\n" );
document.write( "10D + 25Q = 325     (2)     (counting cents)\r\n" );
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document.write( "From equation (2),  express  Q = 16-D  and substitute it into equation (2),  replacing Q.  You will get a SINGLE equation for only one unknown\r\n" );
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document.write( "10*D + 25*(16-D) = 325\r\n" );
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document.write( "10D + 400 - 25D = 325\r\n" );
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document.write( "-15D = 325 - 400 = -75  ====>  D =  = 5.\r\n" );
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document.write( "Answer.  5 dimes and 16-5 = 11 quarters.\r\n" );
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document.write( "Check.   5*10 + 11*25 = 325  cents   ! 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( "--------------
\n" ); document.write( "On coin problems, see 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( "    - 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,
\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 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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