document.write( "Question 705999: Good evening,
\n" ); document.write( "I'm having some trouble assisting my son (8th grade) with his math homework.\r
\n" ); document.write( "\n" ); document.write( "The problem states:\r
\n" ); document.write( "\n" ); document.write( "Write and solve a system of equations that represents each situation. Interpret the solution.\r
\n" ); document.write( "\n" ); document.write( "Neil has a total of twelve $5 and $10 bills in his wallet.He has 5 times as many $10 bills as $5 dollar bills. How many of each does he have?
\n" ); document.write( "Any help is greatly appreciated!!! Thanks in advance!!! Susan
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Algebra.Com's Answer #434917 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = the number of $5 bills he has
\n" ); document.write( "Let $\"+b+\"$ = the number of $10 bills he has
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+12+\"$
\n" ); document.write( "(2) $\"+b+=+5a+\"$
\n" ); document.write( "-------------
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) $\"+a+%2B+b+=+12+\"$
\n" ); document.write( "(1) $\"+a+%2B+5a+=+12+\"$
\n" ); document.write( "(1) $\"+6a+=+12+\"$
\n" ); document.write( "(1) $\"+a+=+2+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(2) $\"+b+=+5a+\"$
\n" ); document.write( "(2) $\"+b+=+5%2A2+\"$
\n" ); document.write( "(2) $\"+b+=+10+\"$
\n" ); document.write( "The number of $5 bills he has is 2
\n" ); document.write( "The number of $10 bills he has is 10
\n" ); document.write( "----------------
\n" ); document.write( "Notice that this is not really a \"money\" problem.
\n" ); document.write( "You could replace $5 bills with blue marbles
\n" ); document.write( "and $10 bills with red marbles, and you have
\n" ); document.write( "the same problem.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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