document.write( "Question 1106176: Fred has 5 times as many dimes as nickels in his piggy bank. He also has twice as many quarters as dimes. He has $9.15 in total\r
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Algebra.Com's Answer #721121 by ikleyn(53763) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "The strategy is to choose a single major unknown variable;\r
\n" ); document.write( "\n" ); document.write( " then to express all other variables via the major one;\r
\n" ); document.write( "\n" ); document.write( " then to build an equation, and to solve it accurately.\r
\n" ); document.write( "\n" ); document.write( "The final step is to calculate all other unknowns, write the answer and to check it.\r
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document.write( "Let N be the number of nickels in the bank (MAJOR unknown variable).\r\n" );
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document.write( "Then the number of dimes is 5N;\r\n" );
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document.write( "     the number of quarters is 2*dimes = 2*(5N) = 10N.\r\n" );
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document.write( "The \"value\" equation is\r\n" );
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document.write( "nickels + dimes     + quarters = 915   cents,   or\r\n" );
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document.write( "5N      +   10*(5N) + 25*(10N) = 915,\r\n" );
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document.write( "5N + 50N + 250N = 915,\r\n" );
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document.write( "305N = 915  ====>  N =  = 3.\r\n" );
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document.write( "Thus there are 3 nickels in the bank.\r\n" );
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document.write( "Then the number of dimes    is 5*3 = 15  and\r\n" );
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document.write( "     the number of quarters is 2*15 = 30.\r\n" );
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document.write( "Check.  3*5 + 10*15 + 25*30 = 915 cents.   ! Correct !\r\n" );
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document.write( "Answer.  3 nickels, 15 dimes and 30 quarters.\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( "    - 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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