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 #838402 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=838402\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "c = number of cars<BR>\n" );
document.write( "v = number of vans\r<BR>\n" );
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document.write( "c+v = total number of vehicles<BR>\n" );
document.write( "c+v = 61\r<BR>\n" );
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document.write( "4c = amount of money from the cars only ($4 each)<BR>\n" );
document.write( "6v = amount of money from the vans only ($6 each)<BR>\n" );
document.write( "4c+6v = total amount of money raised<BR>\n" );
document.write( "4c+6v = 278\r<BR>\n" );
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document.write( "The system of equations is<BR>\n" );
document.write( "c+v = 61<BR>\n" );
document.write( "4c+6v = 278\r<BR>\n" );
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document.write( "I'll use substitution to solve.<BR>\n" );
document.write( "Isolate c in the 1st equation<BR>\n" );
document.write( "c+v = 61<BR>\n" );
document.write( "c = 61-v\r<BR>\n" );
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document.write( "Plug that into the other equation to isolate v.<BR>\n" );
document.write( "4c+6v = 278<BR>\n" );
document.write( "4(61-v)+6v = 278<BR>\n" );
document.write( "244-4v+6v = 278<BR>\n" );
document.write( "244+2v = 278<BR>\n" );
document.write( "2v = 278-244<BR>\n" );
document.write( "2v = 34<BR>\n" );
document.write( "v = 34/2<BR>\n" );
document.write( "v = 17\r<BR>\n" );
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document.write( "Use this to determine c.<BR>\n" );
document.write( "c = 61-v<BR>\n" );
document.write( "c = 61-17<BR>\n" );
document.write( "c = 44\r<BR>\n" );
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document.write( "Answers:<BR>\n" );
document.write( "Number of cars = <font size=4 color=red>44</font> <BR>\n" );
document.write( "Number of vans = <font size=4 color=red>17</font> <BR>\n" );
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