document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=28292>Question 28292</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Automobile companies advertise two rates for fuel mileage.  City mileage is the rate fo fuel consumption for driving in stop-and-go traffic.  Highway mileage is the rate for driving at higher speeds for long periods of time Cynthia's new car gets 17 mi/gal in the city and 25 mi/gal on the highway.  On one trip,  she drove 220 miles on 11 gallons of gas.  A.  Define variables and write a system of equations for the gallons burned @ ea. rate.<BR>\n" );
document.write( "B.  Solve this system and explaing the meaning of your solution C. Find the number of city miles and highway miles Cynthia drove.\r<BR>\n" );
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document.write( "Will you please help me with this problem.  I am having dificulty setting it up.  Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #15375 by </B><A HREF=/tutors/aboutme.mpl?userid=Paul><B>Paul(988)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Paul><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=15375\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In city her speed = 15mi/gal<BR>\n" );
document.write( "On highway her speed = 25mi/gal<BR>\n" );
document.write( "Total miles driven = 220 by both the city speed and the highway speed.<BR>\n" );
document.write( "Total gallons of gas used (with city and highway speeds) = 11\r<BR>\n" );
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document.write( "Since 11 in the highest gallons used you know that the \"x\" value of which gallons of gas you are trying the find will be less than 11.\r<BR>\n" );
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document.write( "We want to find the gallons of gas for city first.<BR>\n" );
document.write( "SO Mi driven in city = 17x<BR>\n" );
document.write( "With mi driven on highway = 25(11-x)<BR>\n" );
document.write( "Total miles driven = 220\r<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "17x+25(11-x)=220<BR>\n" );
document.write( "17x-25x=220-275<BR>\n" );
document.write( "-8x=-55<BR>\n" );
document.write( "x=6.875 (gallons used for city)\r<BR>\n" );
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document.write( "11-6.875=4.125 (gallon used on highway)\r<BR>\n" );
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document.write( "6.875(17)=116.875 (miles driven in city)<BR>\n" );
document.write( "25(4.125)=103.125 (miles driven on highway)\r<BR>\n" );
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document.write( "Hence, she drove 116.875 miles in city and 103.125 miles on the highway.\r<BR>\n" );
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document.write( "Paul.<BR>\n" );
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