document.write( "Question 1098754: A coin collection contains nickels, dimes, and quarters. There are twice as many dimes as quarters and nine more nickels than dimes. The total value of all the coins is $4.85. How many quarters are in the collection? \n" ); document.write( "

Algebra.Com's Answer #713194 by ikleyn(52775) $\"\"$ $\"About$

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document.write( "Let \"x\" = the number of quarters.\r\n" );
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document.write( "Then the number of dimes is 2x, and the number of nickels is (2x+9).\r\n" );
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document.write( "Quarters contribute 25x cents to the total.\r\n" );
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document.write( "Dimes contribute 10*(2x) cents to the total.\r\n" );
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document.write( "Nickels contribute 5*(2x+9) cents to the total.\r\n" );
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document.write( "Thus the total is  25x + 10*(2x) + 5*(2x+9) cents.\r\n" );
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document.write( "From the other side, it is 485 cents.\r\n" );
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document.write( "It gives you an equation  \r\n" );
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document.write( "25x + 10*(2x) + 5*(2x+9) = 485.\r\n" );
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document.write( "Simplify and solve for x:\r\n" );
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document.write( "25x + 20x + 10x + 45 = 485  ====>  55x = 485 - 45 = 440  ====>  x =  = 8.\r\n" );
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document.write( "Anser.  8 quarters, 16 dimes  and 2*8+9 = 25 nickel.\r\n" );
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document.write( "Check.   8*25 + 16*10 + 25*5 = 485.    ! Correct !\r\n" );
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\n" ); document.write( "There is entire bunch of lessons on coin problems\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( "    - 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( "\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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