document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1148782>Question 1148782</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Matthew manages the packaging department of his company. Yesterday, the department operated for only 4 hours due to a company picnic, and they only completed 112 packages. Today, his department will complete 43 packages per hour. If Matthew wants to complete packages at an average rate of at least 39 packages per hour, then what is the minimum number of hours that the department must operate today to compensate for yesterday's company picnic?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #770131 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=770131\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Matthew manages the packaging department of his company.<BR>\n" );
document.write( " Yesterday, the department operated for only 4 hours due to a company picnic, and they only completed 112 packages.<BR>\n" );
document.write( " Today, his department will complete 43 packages per hour.<BR>\n" );
document.write( " If Matthew wants to complete packages at an average rate of at least 39 packages per hour,<BR>\n" );
document.write( " then what is the minimum number of hours that the department must operate today<BR>\n" );
document.write( "to compensate for yesterday's company picnic?<BR>\n" );
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document.write( "let t = no. of hrs required to accomplish this<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28112+%2B+43t%29%29%2F%28%28t+%2B+4%29%29+=+39 ALIGN=MIDDLE  ALT=\"%28%28112+%2B+43t%29%29%2F%28%28t+%2B+4%29%29+=+39\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply both sides by (t+4)<BR>\n" );
document.write( "112 + 43t = 39(t + 4)<BR>\n" );
document.write( "112 + 43t = 39t + 156<BR>\n" );
document.write( "43t - 39t = 156 - 112<BR>\n" );
document.write( "4t = 44<BR>\n" );
document.write( "t = 44/4<BR>\n" );
document.write( "t = 11 hrs has to be worked to average 39 pkg per hr<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "total packages: 112 + 11(43) = 585<BR>\n" );
document.write( "total hrs: 4 + 11 = 15 hrs<BR>\n" );
document.write( "Average per hour: 585/15 = 39<BR>\n" );
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