document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=712230>Question 712230</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PLEASE help me with this!<BR>\n" );
document.write( "               A group of students is going on a field trip. If the group takes 3 vans and 1 car, 22 students can be transported. If the group takes 2 vans and 4 cars, 28 students can be transported. How many students can fit in each van? <BR>\n" );
document.write( "I have come up with the equation 3v+1c=22 and 2v+4c=28. Im not sure if these are correct? PLEASE help! Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #437846 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=437846\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A group of students is going on a field trip. If the group takes 3 vans and 1 car, 22 students can be transported. If the group takes 2 vans and 4 cars, 28 students can be transported. How many students can fit in each van?<BR>\n" );
document.write( "I have come up with the equation <BR>\n" );
document.write( "3v+1c=22<BR>\n" );
document.write( "2v+4c=28<BR>\n" );
document.write( "What you have above is correct.<BR>\n" );
document.write( "To solve we can apply the \"elimination method\"<BR>\n" );
document.write( "Multiply both sides of the top equation by -4 and combine both equations:<BR>\n" );
document.write( "-4(3v+1c)=-4(22)<BR>\n" );
document.write( "2v+4c=28<BR>\n" );
document.write( ".<BR>\n" );
document.write( "-12v-4c=-88<BR>\n" );
document.write( "  2v+4c=28<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "-10v = -60<BR>\n" );
document.write( "v = 5 students can fit in each van\r<BR>\n" );
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