document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=94746>Question 94746</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131492624/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A wallet contains $5 bills and $10 bills. There are 15 bills in the wallet with a total value of $120. Determine the number of $5bills and the number of $10 bills in the wallet. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #69003 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=69003\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=number of $5 bills\r<BR>\n" );
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document.write( "Then 15-x=number of $10 bills\r<BR>\n" );
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document.write( "Now we are told that: (dollars are understood)<BR>\n" );
document.write( "5x+10(15-x)=120  get rid of parens\r<BR>\n" );
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document.write( "5x+150-10x=120  subtract 150 from both sides\r<BR>\n" );
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document.write( "5x+150-150-10x=120-150  collect like terms<BR>\n" );
document.write( "-5x=-30 divide both sides by -5\r<BR>\n" );
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document.write( "x=6----------------number of $5 bills<BR>\n" );
document.write( "15-6=9----------------number of $10 bills\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "6*5+10*9=120<BR>\n" );
document.write( "30+90=120<BR>\n" );
document.write( "120=120\r<BR>\n" );
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document.write( "Another way:\r<BR>\n" );
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document.write( "x=number of $5<BR>\n" );
document.write( "y=number of $10\r<BR>\n" );
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document.write( "x+y=15--------------------eq1<BR>\n" );
document.write( "5x+10y=120-------------------eq2<BR>\n" );
document.write( "Notice that if we substituted y=15-x from eq1 into eq2 we end up with the same equation that we initially solved\r<BR>\n" );
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document.write( "Hope this helps----------------ptaylor </SPAN>\n" );
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