document.write( "Question 1126934: Use the 4 step process t answer this word problem: Assign and label variables, write a system of equations, solve the system, answer the question in a sentence.\r
\n" ); document.write( "\n" ); document.write( "In your coin purse are dimes and quarters, 50 coins in all. The total value of the coins is $9.95. How many of each coin do you have?\r
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Algebra.Com's Answer #743287 by ikleyn(52798)\"\" \"About 
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document.write( "Let D be the number of dimes and let Q be the number of quarters.\r\n" );
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document.write( "Then from the condition, you have this system of two equations in two unknowns\r\n" );
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document.write( "  D +   Q =  50    coins    (1)     (counting coins)\r\n" );
document.write( "10D + 25Q = 995    cents    (2)     (counting cents)\r\n" );
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document.write( "From equation (1), express  D = 50 - Q  and substitute it into equation (2).\r\n" );
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document.write( "You will get a single equation for only one unknown Q  (it is how the Substitution method works) :\r\n" );
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document.write( "10*(50-Q) + 25Q = 995.\r\n" );
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document.write( "Simplify and solve this equation for Q.\r\n" );
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document.write( "500 - 10Q + 25Q = 995,\r\n" );
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document.write( "15Q = 995 - 500\r\n" );
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document.write( "15Q = 495\r\n" );
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document.write( "Q = \"495%2F15\" = 33.\r\n" );
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document.write( "Thus we found the unknown Q, which is the number of quarters.\r\n" );
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document.write( "Then from equation (1) you get  D = 50 - Q = 50 - 33 = 17.\r\n" );
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document.write( "It is the value of dimes.\r\n" );
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document.write( "Answer.  The collection has  17 dimes and 33 quarters.\r\n" );
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document.write( "Check.   17*10 + 33*25 = 995 cents.   ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is good that the problem dictates us very stiff structure for the solution.\r
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\n" ); document.write( "\n" ); document.write( "Now learn and memorize this solution as a mantra and repeat it EVERY TIME when you solve similar problems.\r
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\n" ); document.write( "\n" ); document.write( "Notice that when listing the steps, the condition missed one critically important step: the solution MUST BE CHECKED at the end.\r
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\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( "    - 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( "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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