document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132875>Question 132875</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534384595/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A salesperson purchased an automobile that was advertised as averaging 25 mi/gal in the city and 40 mi/gal on the highway.  A recent sales trip that covered 1800 miles required 51 gallons of gasoline.  Assuming that the advertised mileage estimates were correct, how many miles were driven in the city?\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 #97095 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=97095\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
document.write( "1800 total miles<BR>\n" );
document.write( "51 gallons<BR>\n" );
document.write( "25 miles per gallon city<BR>\n" );
document.write( "40 miles per gallon highway\r<BR>\n" );
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document.write( "The total distance is the sum of the mileage of city and highway.<BR>\n" );
document.write( "Let x be the number of gallons used for city driving. If so, then 51-x is the number of gallons used for highway. \r<BR>\n" );
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document.write( "Now setup an equation for the total mileage driven\r<BR>\n" );
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document.write( "Thus :<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Total+=+highway+%2B+city+ ALIGN=MIDDLE  ALT=\"Total+=+highway+%2B+city+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1800+=+%2851-x%2940+%2B+x%2825%29+ ALIGN=MIDDLE  ALT=\"1800+=+%2851-x%2940+%2B+x%2825%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1800+=+2040+-40x+%2B+25x+ ALIGN=MIDDLE  ALT=\"1800+=+2040+-40x+%2B+25x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-240+=+-15x+ ALIGN=MIDDLE  ALT=\"-240+=+-15x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+16+=+x+ ALIGN=MIDDLE  ALT=\"+16+=+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Thus city driving used 16 gallons. To find the number of city miles, just multiply the number of gallons times the stated city rate of 25. \r<BR>\n" );
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document.write( "Yielding 400\r<BR>\n" );
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document.write( "Check your answer using highway milage to ensure the total is correct.<BR>\n" );
document.write( "51-16 = 35<BR>\n" );
document.write( "35 * 40 = 1400\r<BR>\n" );
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document.write( "total is 1400 + 400 = 1800!! </SPAN>\n" );
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