document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=920342>Question 920342</A>: <I><SPAN STYLE=\"word-break: break-all;\"> school a and b go on separate trips, school A rented and filled 6 vans and 5 buses with 208 students. school B rented and filled 12 vans and 4 buses with 224 students. each van and each bus carried the same number of students. how many students can a van carry?how many students can a bus carry? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #558364 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=558364\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you have 2 equations.\r<BR>\n" );
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document.write( "6v + 5b = 208<BR>\n" );
document.write( "12v + 4b = 224\r<BR>\n" );
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document.write( "you need to solve these equations simultaneosly to get a common solution for v and b.\r<BR>\n" );
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document.write( "multiply both sides of the first equation by 2 to get:\r<BR>\n" );
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document.write( "12v + 10b = 416<BR>\n" );
document.write( "12v + 4b = 224\r<BR>\n" );
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document.write( "subtract the second equation from the first to get:\r<BR>\n" );
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document.write( "6b = 192\r<BR>\n" );
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document.write( "divide this equation by 6 to get:\r<BR>\n" );
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document.write( "b = 32\r<BR>\n" );
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document.write( "replace b with 32 in the first original equation to get:\r<BR>\n" );
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document.write( "6v + 5b = 208 becomes:\r<BR>\n" );
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document.write( "6v + 5*32 = 208\r<BR>\n" );
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document.write( "solve for v to get:\r<BR>\n" );
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document.write( "v = 8\r<BR>\n" );
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document.write( "you have v = 8 and b = 32\r<BR>\n" );
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document.write( "confirm by replacing v with 8 and b with 32 in both your original equations.\r<BR>\n" );
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document.write( "6v + 5b becomes 6*8 + 5*32 which becomes 48 + 160 which becomes 208 which agrees with the first original equation.\r<BR>\n" );
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document.write( "12v + 4b becomes 12*8 + 4*32 which becomes 96 + 128 which becomes 224 which agrees with the second original equation.\r<BR>\n" );
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document.write( "your solution is confirmed as good.\r<BR>\n" );
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document.write( "v = 8<BR>\n" );
document.write( "b = 32\r<BR>\n" );
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document.write( " </SPAN>\n" );
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