document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1014695>Question 1014695</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a certail truck uses 18 gallons of diesle fuel in traveling 270 miles. in order for the truck to travel the same distance using 10gallons of diesel fuel. by how many miles per gallon must the truck's fuel mileage be increased? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #631011 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=631011\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Basic uniform rates, fuel efficiency is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%2FV=R ALIGN=MIDDLE  ALT=\"D%2FV=R\"   DISABLED_style= \"max-width:90%; height:auto;\" > for a constant nonzero real number, R.  This is a rate comparing distance D to fuel quantity V, volume.  Multiplying both sides by V, the relationship is stated <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=RV ALIGN=MIDDLE  ALT=\"D=RV\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=RV=D ALIGN=MIDDLE  ALT=\"RV=D\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Assign some variables:<BR>\n" );
document.write( "r, fuel efficiency rate MILES per GALLON<BR>\n" );
document.write( "x, increase in fuel efficiency needed\r<BR>\n" );
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document.write( "This is the description translated into a system of equations.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28r%2A18=270%2C%28r%2Bx%29%2A10=270%29 ALIGN=MIDDLE  ALT=\"system%28r%2A18=270%2C%28r%2Bx%29%2A10=270%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Think about the variables and these two equations and make sense of them.  <s>If they seem very understandable, then you know what to do.  </s><BR>\n" );
document.write( "Solve the system for r and x.  The first equation will give you r; and then use the value found in the second equation to solve for and evaluate x.\r<BR>\n" );
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document.write( "The important part of the exercise is to learn to make the system of equations and then to solve it.  The actual values for r and x and not very important. </SPAN>\n" );
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