document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203110>Question 1203110</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The school football team held a car wash to raise money.  They washed cars for $4 each and vans for $6 each.  They washed a total of 61 vehicles and raised $278.  How many of each type of vehicle did they wash?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #838408 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=838408\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Look at the responses from the other two tutors who provided formal algebraic solutions to see that it is almost always the case that a tiny bit of extra work at the beginning to set the problem up using only one variable results in a faster and easier path to the solution.<br><BR>\n" );
document.write( "And if formal algebra is not required, this is a very common type of problem that can be solved quickly and easily using logical reasoning and simple arithmetic:<br><BR>\n" );
document.write( "If all 61 vehicles had been cars, the total raised would have been 61($4) = $244.<BR>\n" );
document.write( "The actual total was $278, which is $34 more.<BR>\n" );
document.write( "The difference between the cost for a car and the cost for a van was $2.<BR>\n" );
document.write( "Therefore, the number of vans was $34/$2 = 17.<br><BR>\n" );
document.write( "ANSWER: 17 vans and 61-17 = 44 cars<br><BR>\n" );
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