document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=576189>Question 576189</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two gasoline distributors, A and B, are 367 km apart on a highway.A charges $1.80/L and B charges $1.68/L. Each charges 0.16¢/L per kilometre for delivery. Where on Interstate 80 is the cost to the customer the same?\r<BR>\n" );
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document.write( "Sir,<BR>\n" );
document.write( "I didn't get what is meant by \"Interstate 80 is the cost to the customer the same\".Even then I tried to solve as follows.<BR>\n" );
document.write( "(1.80*0.16)*x=80\r<BR>\n" );
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document.write( "(1.68*0.16)*y=80\r<BR>\n" );
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document.write( "giving x=277.77 and y=297 <BR>\n" );
document.write( "I think I have messed it up and cant find the solution.It will be kind of you if you you can help me out in this regards.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #369969 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=369969\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Read the question a little differently. As in, \" 'Where on Interstate 80' is the cost to the customer the same?\" Interstate 80 is the name of a highway; I don't know how you put 80 into your equation.\r<BR>\n" );
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document.write( "It doesn't say how many gallons you buy, so assume you intend to buy L liters. Suppose you are x kilometers from station A. Then you are 367-A kilometers from station B.\r<BR>\n" );
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document.write( "A will charge\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 1.80L + .16Lx\">\r<BR>\n" );
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document.write( "B will charge\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 1.68L + .16L(367-x)\">.\r<BR>\n" );
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document.write( "Note the .16Lx is because it is 16 cents *per liter* *per kilometer*.\r<BR>\n" );
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document.write( "These two are equal:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 1.80L + .16Lx = 1.68L + .16L(367-x)\">\r<BR>\n" );
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document.write( "The L's cancel. The nice thing about this is that which station is cheaper does not depend on how many liters you buy.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 1.80 + .16x = 1.68 + .16(367-x)\">\r<BR>\n" );
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document.write( "You can solve for x. You should get x = 183.125 (this is 183.125 km from station A), and this is almost exactly halfway between A and B. </SPAN>\n" );
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