document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=326219>Question 326219</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a family there are two cars. In a given week, the first car gets an average of 40 miles per gallon, and the second car gets 30 miles per gallon. The two cars combined drive a total of 2300 miles in that week, for a total gas consumption of 65 gallons. How many gallons were consumed by each of the two cars that week? <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #233525 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=233525\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a family there are two cars. In a given week, the first car gets an average of 40 miles per gallon, and the second car gets 30 miles per gallon. The two cars combined drive a total of 2300 miles in that week, for a total gas consumption of 65 gallons. How many gallons were consumed by each of the two cars that week? <BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Note: distance/mpg = gallons<BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "1st car DATA:<BR>\n" );
document.write( "mpg = 40 ; distance = x miles ; gallons = x/40 <BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "2nd car DATA:<BR>\n" );
document.write( "mph 30  ; distance = 2300-x ; gallons = (2300-x)/30<BR>\n" );
document.write( "-------------------------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "gallons + gallons = 65<BR>\n" );
document.write( "x/40 + (2300-x)/30 = 65<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Multiply thru by 120 to get:<BR>\n" );
document.write( "3x + 4(2300-x) = 65*120<BR>\n" );
document.write( "3x -4x + 4*2300 = 65*120<BR>\n" );
document.write( "-x = -1400<BR>\n" );
document.write( "x = 1400  miles<BR>\n" );
document.write( "2300-x = 900 miles<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "x/40 = 35 gallons (amt. used by the 1st car)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "900/30 = 30 gallons (amt. used by 2nd car)<BR>\n" );
document.write( "==========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );