document.write( "Question 1095715: a parking meter contains quarters and dimes worth $11.55. There are 66 coins in all find out how many of each there are \n" ); document.write( "

Algebra.Com's Answer #710224 by ikleyn(52776) $\"\"$ $\"About$

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document.write( "Let \"D\" be the number of dimes.\r\n" );
document.write( "Then the number of quarters is (66-D).\r\n" );
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document.write( "The dimes contribute 10*D cents to the total.\r\n" );
document.write( "The quarters contribute 25*(66-D).\r\n" );
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document.write( "The total is 1155 cents, and the \"value equation\" is\r\n" );
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document.write( "10*D + 25*(66-D) = 1155.\r\n" );
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document.write( "Simplify and solve for D:\r\n" );
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document.write( "10*D + 25*66 - 25D = 1155,\r\n" );
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document.write( "10D + 1650 - 25D = 1155,\r\n" );
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document.write( "-15D = 1155 - 1650,\r\n" );
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document.write( "-15D = 495,\r\n" );
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document.write( "D =  = 33.\r\n" );
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document.write( "Answer.  33 dimes and 66-33 = 33 quarters.\r\n" );
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document.write( "Check.  33*10 + 33*25 = 1155 cents = $11.55.\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( "    - Solving coin problems mentally by grouping without using equations\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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