document.write( "Question 1068428: Bob has three and a half dollars in nickels and dimes .
\n" ); document.write( "Altogether, bob has fifty coins.
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Algebra.Com's Answer #683641 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "Bob has three and a half dollars in nickels and dimes .
\n" ); document.write( "Altogether, bob has fifty coins.
\n" ); document.write( "How many nickels does bob have?
\n" ); document.write( "How many dimes does bob have?
\n" ); document.write( "Explain how you figuered it out.
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document.write( "Let N be the number of nickels.\r\n" );
document.write( "Then the number of dimes is (50-N).\r\n" );
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document.write( "N nickels contribute 5N cents to the total.\r\n" );
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document.write( "(50-N) dimes contribute 10*(50-N) cents to the total.\r\n" );
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document.write( "Your \"value\" equation is\r\n" );
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document.write( "5N + 10*(50-N) = 350   cents   (=$3.50)\r\n" );
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document.write( "Simplify and solve for N:\r\n" );
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document.write( "5N + 500 - 10N = 350,\r\n" );
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document.write( "-5N = 350-500  --->  -5N = -150  --->  N = \"%28-350%29%2F%28-5%29\" = 30.\r\n" );
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document.write( "Answer.  30 nickels and 50 - 30 = 20 dimes.\r\n" );
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document.write( "Check.  30*5 + 20*10 = 350 cents.  Correct !!\r\n" );
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\n" ); document.write( "\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( "in this site.\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( "The solution by \"josgarithmetic is incorrect.\r
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