document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=943192>Question 943192</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A MACHINE IN A POTTERY FACTORY TAKES 3 MINUTES TO FORM A BOWL AND 1 MINUTE TO FORM A PLATE. The material for a bowl cost 25 cents and material for a plate costs 20 cents . If the machine runs for 8 hours (480 minutes) and exactly 44 dollars is available to spend on materials, how many bowls and plates can be produced? \r<BR>\n" );
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document.write( "So far I have 0.25x+0.20y=44 and 3x+y=8 is am I missing another equation? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #575020 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=575020\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let P=Plates and B=bowls<BR>\n" );
document.write( "0.25B+.20P=44; 3B+P=480 (This equation was your problem: convert all to same units)<BR>\n" );
document.write( "Solve second equation for P<BR>\n" );
document.write( "P=480-3B<BR>\n" );
document.write( "Substitute in first<BR>\n" );
document.write( "0.25B+(.2(480-3B))=44<BR>\n" );
document.write( "0.25B+96-0.6B=44<BR>\n" );
document.write( "96-.35B=44 Subtract 44 from each side<BR>\n" );
document.write( "96-44-0.35B=0 add .35B to each side<BR>\n" );
document.write( "52=0.35B divide each side by 0.35<BR>\n" );
document.write( "(52/.35)=.35B/.35<BR>\n" );
document.write( "148.6=B Number of bowls is 148.6<BR>\n" );
document.write( "P=480-3(148.6)= 34.2 Number of plates is 34.2<BR>\n" );
document.write( "CHECK<BR>\n" );
document.write( "Material<BR>\n" );
document.write( "0.25B+0.20P=44<BR>\n" );
document.write( "0.25(148.6)+0.20(34.2)=44<BR>\n" );
document.write( "37.15+6.84=44<BR>\n" );
document.write( "43.99=44 (discrepancy due to rounding)<BR>\n" );
document.write( "Time<BR>\n" );
document.write( "3(148.6)+34.2=480<BR>\n" );
document.write( "445.8+34.2=480<BR>\n" );
document.write( "480=480\r<BR>\n" );
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document.write( " </SPAN>\n" );
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