document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=638354>Question 638354</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A professor announces that course grades will be computed by taking 40% of a student's project score (0-100 points) and adding 60% of the students final exam score (0-100 points). If a student gets an 86 on the project, what scores can she get on the final exam to get a course grade of at least 90?\r<BR>\n" );
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document.write( "These are some conclusions I've made, which may or may not be correct. <BR>\n" );
document.write( "40%(86)+60%(x) is greater than or equal to 90. I am confused by the word \"And\" in the problem.  Does this let me know that this is a compound inequality? If so, what other numbers do I use to create another inequality...100?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #402160 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=402160\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  professor announces that course grades will be computed by taking 40% of a<BR>\n" );
document.write( " student's project score (0-100 points) and adding 60% of the students final<BR>\n" );
document.write( " exam score (0-100 points).<BR>\n" );
document.write( " If a student gets an 86 on the project, what scores can she get on the final exam to get a course grade of at least 90? <BR>\n" );
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document.write( "Here is one equation for this, the relationship between the project and final<BR>\n" );
document.write( "exam is 4:6<BR>\n" );
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document.write( "x = students grade on the final exam<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2886%29%2B6x%29%2F10 ALIGN=MIDDLE  ALT=\"%284%2886%29%2B6x%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > => 90<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28344%2B6x%29%2F10 ALIGN=MIDDLE  ALT=\"%28344%2B6x%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > => 90<BR>\n" );
document.write( "multiply both sides by 10<BR>\n" );
document.write( "344 + 6x => 900<BR>\n" );
document.write( "6x => 900 - 344<BR>\n" );
document.write( "x => 556/6<BR>\n" );
document.write( "x => 93 on the final exam to achieve an average of 90 for the course<BR>\n" );
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document.write( "You can confirm this: .4(86) + .6(93) = 90.2 (we rounded up 92.6667)<BR>\n" );
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