document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1167413>Question 1167413</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "Alan and Joe had the same amount of money. Alan spent 0.7 of his money while joe spent 0.2 . Joe bought 4 pens for $36 and found that he had twice as much money as Alan had left . How much money did they have altogether. \r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #792004 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=792004\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i believe the problem statement should have been as follows:\r<BR>\n" );
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document.write( "Alan and Joe had the same amount of money. <BR>\n" );
document.write( "Alan spent 0.7 of his money while joe spent 0.2 of his money. <BR>\n" );
document.write( "Joe THEN bought 4 pens for $36 and found that he had twice as much money as Alan had left. <BR>\n" );
document.write( "How much money did they have altogether?\r<BR>\n" );
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document.write( "when stated like this, you get the following.\r<BR>\n" );
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document.write( "Alan spent .7 * x, so he had .3 * x left.\r<BR>\n" );
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document.write( "Joe spent .2 * x, so he had .8 * x left.\r<BR>\n" );
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document.write( "joe then spent an additional 36 dollars.\r<BR>\n" );
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document.write( "this means he had .8 * x - 36 dollars left.\r<BR>\n" );
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document.write( "he then found that he had twice as much money left as Alan had.\r<BR>\n" );
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document.write( "this means that:\r<BR>\n" );
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document.write( ".8 * x - 36 = 2 * .3 * x\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( ".8 * x - 36 = .6 * x\r<BR>\n" );
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document.write( "subtract .6 * x from both sides of this equation and add 36 to both sides of this equation to get:\r<BR>\n" );
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document.write( ".2 * x = 36\r<BR>\n" );
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document.write( "solve for x to get:\r<BR>\n" );
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document.write( "x = 36 / .2 = 180.\r<BR>\n" );
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document.write( "this says they each had 180 dollars to start with.\r<BR>\n" );
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document.write( "alan spent 70% and so he had 30% left = .3 * 180 = 54 left.\r<BR>\n" );
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document.write( "joe spent 20% and so he had 80% left = .8 * 180 = 144 left.\r<BR>\n" );
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document.write( "joe then spent an additional 36 dollars and so he had 144 - 36 = 108 left.\r<BR>\n" );
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document.write( "he found that he had twice as money left as alan had left.\r<BR>\n" );
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document.write( "108 / 54 = 2, confirming what he found was correct.\r<BR>\n" );
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document.write( "since they each had 180 dollars to start with, then they both had 2 * 180 = 360 dollars to start with.\r<BR>\n" );
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document.write( "your solution is that the money that they had all together was 360 dollars before they had spent any money.\r<BR>\n" );
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document.write( "the original problem statement was confusing.\r<BR>\n" );
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document.write( "it was not clear that the 36 dollars that was spent was after .2 * x was spent.\r<BR>\n" );
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document.write( "i originally thought that the 36 dollars represented the .2 * x that was spent.\r<BR>\n" );
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document.write( "it turned out that, assuming that .2 * x = 36 provided me with logical inconsistencies that couldn't be resolved.\r<BR>\n" );
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document.write( "assuming the 36 was spent in addition to the .2 * x that was already spent removed the logical inconsistencies and so i went with that.\r<BR>\n" );
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