document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=218709>Question 218709</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi - I have a pretty simple problem from my homework that I just can't seem to figure out. It's not a huge deal, but it's annoying me that I can get all the others but this seemingly simple problem has got me stumped! <BR>\n" );
document.write( "The problem: A quantity, 2/3 of it, 1/2 of it, and 1/7 of it, added together, equals 33. What is the quantity?<BR>\n" );
document.write( "Here's what I've tried, and checked repeatedly, but don't see the error... (I'm sure it's something simple, which is so annoying!)<BR>\n" );
document.write( "let x = the quantity<BR>\n" );
document.write( "2/3x + 1/2x + 1/7x = 33 [the problem I created from the word problem]<BR>\n" );
document.write( "(42)2/3x + (4y662)1/2x +90-0-0-0-090-87797 (42)1/7x = 33(42) [multiply by common denominator to clear fractions]<BR>\n" );
document.write( "28x + 21x + 6x = 1,386<BR>\n" );
document.write( "55x = 1,386<BR>\n" );
document.write( "x = 1,68758758587587578<BR>\n" );
document.write( "The book tells me that the correct answer is 1,386/97! Where in the world does the 97 come from??\r<BR>\n" );
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document.write( "Many thanks in advance for all the great help you guys give on here!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #164674 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10555)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=164674\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A quantity, 2/3 of it, 1/2 of it, and 1/7 of it, added together, equals 33. What is the quantity?\r<BR>\n" );
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document.write( "Let the quantity be Q\r<BR>\n" );
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document.write( "Since the quantity, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > of it, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > of it, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F7 ALIGN=MIDDLE  ALT=\"1%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > of it, added together equals 33, then we'll have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Q+%2B+%282%2F3%29Q+%2B+%281%2F2%29Q+%2B+%281%2F7%29Q+=+33 ALIGN=MIDDLE  ALT=\"Q+%2B+%282%2F3%29Q+%2B+%281%2F2%29Q+%2B+%281%2F7%29Q+=+33\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "42Q + 28Q + 21Q + 6Q = 1,386 ----- Multiplying equation by its LCD, 42\r<BR>\n" );
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document.write( "97Q = 1,386\r<BR>\n" );
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document.write( "Q = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%281386%2F97%29 ALIGN=MIDDLE  ALT=\"highlight_green%281386%2F97%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which can be expressed this way or as a decimal by dividing 1,386 by 97<BR>\n" );
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