document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=375195>Question 375195</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A family has two cars. The first car has a fuel efficiency of 40 miles per gallon of gas and the second has a fuel efficiency of 35 miles per gallon of gas. During one particular week, the two cars went a combined total of 2125 miles, for a total gas consumption of 55 gallons. How many gallons were consumed by each of the two cars that week? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #266854 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=266854\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A family has two cars. The first car has a fuel efficiency of 40 miles per gallon of gas and the second has a fuel efficiency of 35 miles per gallon of gas. During one particular week, the two cars went a combined total of 2125 miles, for a total gas consumption of 55 gallons. How many gallons were consumed by each of the two cars that week?<BR>\n" );
document.write( "..<BR>\n" );
document.write( "one car 40  miles /gallon<BR>\n" );
document.write( "other car 35 miles/gallon<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Total miles = 2125 <BR>\n" );
document.write( "gas used = 55 gallons<BR>\n" );
document.write( "...<BR>\n" );
document.write( "let first car drive x miles<BR>\n" );
document.write( "second car drive y miles<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x/40 + y/35 = 55<BR>\n" );
document.write( "(35x+40y)/35*40 = 55<BR>\n" );
document.write( "35x+40y = 55*40*35<BR>\n" );
document.write( "35x+40y=77,000............................1<BR>\n" );
document.write( "x+y = 2125................................2<BR>\n" );
document.write( "multiply (2) by -35<BR>\n" );
document.write( "-35x-35y= 2125*-35<BR>\n" );
document.write( "-35x-35y=-74,375\r<BR>\n" );
document.write( "\n" );
document.write( "add to (1)<BR>\n" );
document.write( "5y=2625<BR>\n" );
document.write( "/5<BR>\n" );
document.write( "y=525 miles<BR>\n" );
document.write( "average = 35<BR>\n" );
document.write( "consumption = 525/35<BR>\n" );
document.write( "= 15 gallons<BR>\n" );
document.write( "x= 2125-525=1600 miles<BR>\n" );
document.write( "first car 1600/40 = 40 gallons\r<BR>\n" );
document.write( "\n" );
document.write( "...<BR>\n" );
document.write( "m.ananth@hotmail.ca </SPAN>\n" );
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