document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=76430>Question 76430</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In one multivitamin pill, the ratio of the number of units of Vitamin C to the number of units Vitamin E is 40 to 13. If the pill contains 200 units of Vitamin C, how many units of Vitamin E does it contain?\r<BR>\n" );
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document.write( "?   units </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54816 by </B><A HREF=/tutors/aboutme.mpl?userid=wodkit02><B>wodkit02(9)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=wodkit02><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=54816\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To solve this problem, you need to set up a proportion. To do that, we need to look at cooresponding parts in the problem.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28vitamin+C%29%2F%28vitamin+E%29 ALIGN=MIDDLE  ALT=\"%28vitamin+C%29%2F%28vitamin+E%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28vitamin+C+%28in+bottle%29%29%2F%28vitamin+E+%28in+bottle%29%29 ALIGN=MIDDLE  ALT=\"%28vitamin+C+%28in+bottle%29%29%2F%28vitamin+E+%28in+bottle%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Notice how vitamin C is in the numerator in both ratios and vitamin E is in the denominator of both. We place all the variables in that way so their LABELS will cancel out when we multiply.\r<BR>\n" );
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document.write( "We know that when the amount of vitamin C = 40 units, the amount of vitamin E = 13 units; thus our first ratio is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28vitamin++C%29%2F%28vitamin++E%29 ALIGN=MIDDLE  ALT=\"%28vitamin++C%29%2F%28vitamin++E%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2840++units%29%2F%2813++units%29 ALIGN=MIDDLE  ALT=\"%2840++units%29%2F%2813++units%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "The second ratio has an unknown in it, because we do not know how many units of vitamin E there are:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28vitamin++C+%28in++bottle%29%29%2F%28vitamin++E+%28in++bottle%29%29 ALIGN=MIDDLE  ALT=\"%28vitamin++C+%28in++bottle%29%29%2F%28vitamin++E+%28in++bottle%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28200++units++vit++C%29%2F%28x%29 ALIGN=MIDDLE  ALT=\"%28200++units++vit++C%29%2F%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "We will now set up both ratios equal to each other to solve for x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2840++units++vit++C%29%2F%2813++units++vit++E%29 ALIGN=MIDDLE  ALT=\"%2840++units++vit++C%29%2F%2813++units++vit++E%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28200++units++vit++C%29%2F%28x%29 ALIGN=MIDDLE  ALT=\"%28200++units++vit++C%29%2F%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "We cross multiply to get:<BR>\n" );
document.write( "40 units vit C * x  = 13 units vit C * 200 units vit E<BR>\n" );
document.write( "40x (units vit C)(units vit E) = 2600 (units vit C)(units vit E) ....Notice the labels are also muliplied; this will give us the units of our answer\r<BR>\n" );
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document.write( "We want x by itself, so we divide each side by 40, as well as by the units vit C label to get:<BR>\n" );
document.write( "x = 65 units vit E \r<BR>\n" );
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document.write( "Thus a bottle with 200 units of vitamin C will have 65 units of vitamin E.\r<BR>\n" );
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