document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118038>Question 118038</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a word problem and not sure how to set up the equation:\r<BR>\n" );
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document.write( "A furniture company needs to ship 96 sofas and 57 chairs<BR>\n" );
document.write( "They have small trucks and large trucks<BR>\n" );
document.write( "Each small truck is designed to hold 4 sofas and 3 chairs<BR>\n" );
document.write( "Each large truck is designed to hold 12 sofas and 6 chairs<BR>\n" );
document.write( "Let x represent the number of small trucks needed<BR>\n" );
document.write( "Let y represent the number of large trucks needs.\r<BR>\n" );
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document.write( "Write the system of equatin that represents this situation then solve.\r<BR>\n" );
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document.write( "So far I have x=4a+3b<BR>\n" );
document.write( "              y=12a+6b\r<BR>\n" );
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document.write( "Am I even on the right track?  I am the worst at word problems and this one seems to have me stumped.  Any help is greatly appreciated.<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 #86099 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=86099\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I have a word problem and not sure how to set up the equation:<BR>\n" );
document.write( "A furniture company needs to ship 96 sofas and 57 chairs<BR>\n" );
document.write( "They have small trucks and large trucks<BR>\n" );
document.write( "Each small truck is designed to hold 4 sofas and 3 chairs<BR>\n" );
document.write( "Each large truck is designed to hold 12 sofas and 6 chairs<BR>\n" );
document.write( "Let x represent the number of small trucks needed<BR>\n" );
document.write( "Let y represent the number of large trucks needs.<BR>\n" );
document.write( "Write the system of equation that represents this situation then solve.<BR>\n" );
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document.write( "Sofa equation<BR>\n" );
document.write( "4x + 12y = 96<BR>\n" );
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document.write( "Chair equation<BR>\n" );
document.write( "3x + 6y = 57<BR>\n" );
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document.write( "Solve by elimination: Multiply the chair equation by 2, subtract sofa equation<BR>\n" );
document.write( "6x + 12y = 114<BR>\n" );
document.write( "4x + 12y = 96<BR>\n" );
document.write( "---------------subtracting eliminates y, solve for x<BR>\n" );
document.write( "2x + 0y = 18<BR>\n" );
document.write( "x = 18/2<BR>\n" );
document.write( "x = 9 small trucks<BR>\n" );
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document.write( "Find y<BR>\n" );
document.write( "using sofa equation, substitute 9 for x<BR>\n" );
document.write( "4(9) + 12y = 96<BR>\n" );
document.write( "36 + 12y = 96<BR>\n" );
document.write( "12y = 96 - 36<BR>\n" );
document.write( "12y = 60<BR>\n" );
document.write( "y = 60/12<BR>\n" );
document.write( "y = 5 large trucks<BR>\n" );
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document.write( "Check solutions in the chair equation:<BR>\n" );
document.write( "3(9) + 6(5) = <BR>\n" );
document.write( "27 + 30 = 57 as required<BR>\n" );
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document.write( "Hope this helped & Merry Christmas!!\r<BR>\n" );
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