document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=97428>Question 97428</A>: <I><SPAN STYLE=\"word-break: break-all;\"> iN YOUR ECONOMICS CLASS YOU HAVE SCORES OF 68, 82, 87, AND 89 ON THE FIRST FOUR OF FIVE TEST. TO GET A GRADE OF B THE AVERQAGE OF THE FIRST FIVE TEST SCORES MUST BE GREATER THAN OR EQUAL TO 80 AND LESS THAN 90. SOLVE AN INEQUALITY TO FIND THE RANGE OF THE SCORES THAT YOU NEED ON THE TEST TO GET A B </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #70905 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=70905\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To find the average score (A) of the first five tests, you'll add the scores and divide by 5.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%2868%2B82%2B87%2B89%2Bx%29%2F5 ALIGN=MIDDLE  ALT=\"A+=+%2868%2B82%2B87%2B89%2Bx%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > where x is the score on the fifth test.<BR>\n" );
document.write( "Now you need this average (A) to be at least 80 (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+%3E=+80 ALIGN=MIDDLE  ALT=\"A+%3E=+80\"   DISABLED_style= \"max-width:90%; height:auto;\" >) but less than 90 (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+%3C+90 ALIGN=MIDDLE  ALT=\"A+%3C+90\"   DISABLED_style= \"max-width:90%; height:auto;\" >).<BR>\n" );
document.write( "You can write the inequality thus:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80+%3C=+%28%2868%2B82%2B87%2B89%2Bx%29%2F5%29+%3C+90 ALIGN=MIDDLE  ALT=\"80+%3C=+%28%2868%2B82%2B87%2B89%2Bx%29%2F5%29+%3C+90\"   DISABLED_style= \"max-width:90%; height:auto;\" > To solve this, you'll simplify the numerator.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80+%3C=+%28%28326%2Bx%29%2F5%29+%3C90 ALIGN=MIDDLE  ALT=\"80+%3C=+%28%28326%2Bx%29%2F5%29+%3C90\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now you'll multiply everything by 5.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2980+%3C=+%28326%2Bx%29+%3C+%285%2990 ALIGN=MIDDLE  ALT=\"%285%2980+%3C=+%28326%2Bx%29+%3C+%285%2990\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400+%3C=+%28326%2Bx%29+%3C+450 ALIGN=MIDDLE  ALT=\"400+%3C=+%28326%2Bx%29+%3C+450\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now you'll subtract 326 from everything.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28400-326%29+%3C=+x+%3C+%28450-326%29 ALIGN=MIDDLE  ALT=\"%28400-326%29+%3C=+x+%3C+%28450-326%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=74+%3C=+x+%3C+124 ALIGN=MIDDLE  ALT=\"74+%3C=+x+%3C+124\"   DISABLED_style= \"max-width:90%; height:auto;\" > Read this as: x is at least 74 but less than 124.<BR>\n" );
document.write( "The range of scores needed to get a B average is at least 74 but less than 124. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );