document.write( "Question 1082722: systems of equations: Larry has $4 in nickels and quarters. If there are 36 coins in all, how many nickels and how many quarters does Larry have. \n" ); document.write( "

Algebra.Com's Answer #696793 by ikleyn(53765) $\"\"$ $\"About$

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document.write( " N +   Q =  36     (1)   (\"coins\" equation)\r\n" );
document.write( "5N + 25Q = 400     (2)   (cents. \"value\" equation)\r\n" );
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document.write( "To solve, express N = 36-Q from (1) and substitute into equation (2). You will get\r\n" );
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document.write( "5*(36-Q) + 25Q = 400,\r\n" );
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document.write( "180 - 5Q + 25Q = 400,\r\n" );
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document.write( "20Q = 400 - 180  --->  20Q = 220  --->  Q =  = 11.\r\n" );
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document.write( "Answer.  11 quarters and 36-11 = 25 nickels.\r\n" );
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document.write( "Check.   5*25 + 25*11 = 125 + 275 = 400 cents.  Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "The method I applied here, is called \"the substitution method\".\r
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\n" ); document.write( "\n" ); document.write( "There is a 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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