document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=986378>Question 986378</A>: <I><SPAN STYLE=\"word-break: break-all;\"> So far this semester your test scores have been 75, 91, and 85. Set up and solve an equation for each problem.<BR>\n" );
document.write( "a. If all of the tests are equally weighted, what score must you get on the fourth test to have a test average of 88? Define any variable used.<BR>\n" );
document.write( "b. If the fourth test counts twice as much as the other three tests, then what score must you get on the fourth test to have a test average of 90? Define any variable used.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #607356 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=607356\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  So far this semester your test scores have been 75, 91, and 85.<BR>\n" );
document.write( " Set up and solve an equation for each problem.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a. If all of the tests are equally weighted, what score must you get on the fourth test to have a test average of 88? Define any variable used.<BR>\n" );
document.write( "let a = the 4th test grade<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2875+%2B+91+%2B+85+%2B+a%29%29%2F4 ALIGN=MIDDLE  ALT=\"%28%2875+%2B+91+%2B+85+%2B+a%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 88<BR>\n" );
document.write( "multiply both sides by 4, add the grades<BR>\n" );
document.write( "251 + a = 4(88)<BR>\n" );
document.write( "a = 352 - 251<BR>\n" );
document.write( "a = 101 to have an 88 average, (you may need extra credit here)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "b. If the fourth test counts twice as much as the other three tests, then what score must you get on the fourth test to have a test average of 90? Define any variable used.<BR>\n" );
document.write( "let b = test grade for this to be true,<BR>\n" );
document.write( "Treat it like there are two grades of b, and average 5 tests<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2875+%2B+91+%2B+85+%2B+2b%29%29%2F5 ALIGN=MIDDLE  ALT=\"%28%2875+%2B+91+%2B+85+%2B+2b%29%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 90<BR>\n" );
document.write( "Multiply both sides by 5<BR>\n" );
document.write( "251 + 2b = 5(90)<BR>\n" );
document.write( "2b = 450 - 251<BR>\n" );
document.write( "2b = 199<BR>\n" );
document.write( "b = 199/2<BR>\n" );
document.write( "b = 99.5 required to get a 90 average </SPAN>\n" );
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