document.write( "Question 1099460: A child’s piggy bank contains 35 coins and a total of $6.25. The bank contains quarters,
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Algebra.Com's Answer #713893 by ikleyn(52777)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "A child’s piggy bank contains 35 coins and a total of $6.25. The bank contains quarters, dimes and nickels.
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document.write( "Let N be the number of nickels.\r\n" );
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document.write( "Then the number of dimes is 2N, according to the condition.\r\n" );
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document.write( "Hence, the number of quarters is (35-N-2N) = (35-3N).\r\n" );
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document.write( "The nickels contribute  5N             cents towards the total.\r\n" );
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document.write( "The dimes contribute    10*(2N) = 20N  cents towards the total.\r\n" );
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document.write( "The quarters contribute 25*(35-3N)     cents towards the total.\r\n" );
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document.write( "So, your balance equation is\r\n" );
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document.write( "5N + 20N + 25*(35-3N) = 625  cents.    (<<<---===  you counted all the cents)\r\n" );
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document.write( "Simplify and solve for N step by step.\r\n" );
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document.write( "25N + 875 - 75N = 625  ====>  -50N = 625 - 875 = -250  ====>  N = \"%28-250%29%2F%28-50%29\" = 5.\r\n" );
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document.write( "Answer. 5 nickels,  10 dimes and 35-5-10 = 20 quarters.\r\n" );
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document.write( "Check.  Can you check it on your own ??\r\n" );
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\n" ); document.write( "\n" ); document.write( "The lesson to learn from this solution:\r
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document.write( "    This problem is FOR ONE UNKNOWN.\r\n" );
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document.write( "    Therefore, I made all efforts from my side to solve it as the problem in ONE UNKNOWN.\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,
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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
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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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