document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=338239>Question 338239</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm sure i can figure this out if you can just tell me how to translate this into a mathematical equation:\r<BR>\n" );
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document.write( "three-fourths of the students in Math 200 recieved a grade of C on their test, and one-fifth recieved an A. if twenty-two more students recieved C's than recieved A's, how many students are in the class?\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 #242450 by </B><A HREF=/tutors/aboutme.mpl?userid=katealdridge><B>katealdridge(100)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=katealdridge><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=katealdridge><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=242450\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let y = the total number of students in Math 200.  Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%281%2F5%29x ALIGN=MIDDLE  ALT=\"A+=+%281%2F5%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=%283%2F4%29x ALIGN=MIDDLE  ALT=\"C+=%283%2F4%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  This is essentially a proportion problem.  Change the fractions into equivalent ones with common denominators.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%284%2F20%29x ALIGN=MIDDLE  ALT=\"A+=+%284%2F20%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+%2815%2F20%29x ALIGN=MIDDLE  ALT=\"C+=+%2815%2F20%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  This leaves another <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F20%29x ALIGN=MIDDLE  ALT=\"%281%2F20%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > unaccounted for.  Let's call that B,(it doesn't really matter). So the grades in the class are in the proportion 4:1:15, (A:B:C)<BR>\n" );
document.write( "Whenever you want to solve a proportion problem, take the proportion numbers, multiply each of them by x and add them together:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B1x%2B15x=20x ALIGN=MIDDLE  ALT=\"4x%2B1x%2B15x=20x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now it's time to take into account the next piece of info:22 more students got Cs than As.  So we can change the C part of the equation (15x) into 4x+22.  Now substitute that into the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B1x%2B4x%2B22=20x ALIGN=MIDDLE  ALT=\"4x%2B1x%2B4x%2B22=20x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve for x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%2B22=20x ALIGN=MIDDLE  ALT=\"9x%2B22=20x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22=11x ALIGN=MIDDLE  ALT=\"22=11x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=x ALIGN=MIDDLE  ALT=\"2=x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now substitute 2 for x in the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B1x%2B15x=20x ALIGN=MIDDLE  ALT=\"4x%2B1x%2B15x=20x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  You get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2A2=40 ALIGN=MIDDLE  ALT=\"20%2A2=40\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "There are 40 students in Math 200.<BR>\n" );
document.write( "If you have any further questions please check out my facebook page: Kate Calendrillo, tutor.  I'd be happy to answer your questions.  If you are satisfied with my response, please \"like\" my page on facebook. </SPAN>\n" );
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