document.write( "Question 1132344: Ted has 2 more dimes than quarters. IF he has $1.95, how many of each coin does he have? \n" ); document.write( "

Algebra.Com's Answer #749360 by ikleyn(52868) $\"\"$ $\"About$

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document.write( "If the number of dimes is x, then the number of quarters is (x-2).\r\n" );
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document.write( "The total \"money\" equation is\r\n" );
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document.write( "    10*x + 25*(x-2) = 195 cents,     or\r\n" );
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document.write( "    10x +25x - 50 = 195\r\n" );
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document.write( "    35x = 195 + 50 = 245\r\n" );
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document.write( "    x =  = 7.\r\n" );
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document.write( "Answer.  7 dimes and 7-2 = 5 quarters.\r\n" );
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document.write( "CHECK.  7*10 + 5*25 = 195 cents.    ! Precisely correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "You can solve it mentally, too.\r
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document.write( "Simply put (mentally) 2 dimes aside, for a minute.\r\n" );
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document.write( "Then your updated collection contains equal number of dimes and quarters and is worth 195 - 2*10 = 175 cents.\r\n" );
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document.write( "You can group the coins in the reduced collection in pairs containing 1 quarter and 1 dime each.\r\n" );
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document.write( "Each pair is worth 10+25 = 35 cents and the number of pairs is  = 5.\r\n" );
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document.write( "You get the same answer:  5 quarters and 5+2 = 7 dimes.\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( "    - 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
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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
\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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