document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30510>Question 30510</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The school board is investigating ways to hire a faculty for the summer program. They can hire teachers and aides. a minimum of 20 faculty members is needed to rum the program, and there must be at least 12 teachers. For a proper teacher-to-aide ratio, the nimber of aides must be no more than twice the number of teachers. There can be no more than 50 faculty members altogether. (Hint: There cannon be a negative number of teachers of aides.)\r<BR>\n" );
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document.write( "A. Write an inequality for each condition givin in this situation.\r<BR>\n" );
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document.write( "B. Graph the inequalities on the same coordinate axes.\r<BR>\n" );
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document.write( "C. If the school board hires 12 teachers and 5 aides, will all of the conditions be satisfied? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17144 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=17144\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50+%3E=+t+%2B+a+%3E=+20 ALIGN=MIDDLE  ALT=\"50+%3E=+t+%2B+a+%3E=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "[1] <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+%2B+a+%3C=+50 ALIGN=MIDDLE  ALT=\"t+%2B+a+%3C=+50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "[2] <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+%2B+a+%3E=+20 ALIGN=MIDDLE  ALT=\"t+%2B+a+%3E=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "number of aides is less than or equal to 2X number of teachers<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%3C=+2+%2A+t ALIGN=MIDDLE  ALT=\"a+%3C=+2+%2A+t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "[3] <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+%3E=+a%2F2 ALIGN=MIDDLE  ALT=\"t+%3E=+a%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "there must be at least 12 teachers<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+%3E=+12 ALIGN=MIDDLE  ALT=\"t+%3E=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+280%2C+280%2C+-5%2C60%2C+-5%2C60%2C+20-x%2C50-x%2Cx%2F2%2C12%29+ ALIGN=MIDDLE  ALT=\"+graph%28+280%2C+280%2C+-5%2C60%2C+-5%2C60%2C+20-x%2C50-x%2Cx%2F2%2C12%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "12 teacher and 5 aides will not be enough. There must be at least 20 faculty </SPAN>\n" );
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