document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1164659>Question 1164659</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Primo car rental agency charges ​$38 per day plus ​$0.45 per mile. Ultimo car rental agency charges ​$46 per day plus ​$0.95  per mile. Find the daily mileage for which the Ultimo charge is twice the Primo charge.<BR>\n" );
document.write( "The mileage is nothing. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #789069 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=789069\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> primo charges 38 dollars per day plus .45 per mile.<BR>\n" );
document.write( "ultimo charges 46 dollars per day plus .95 per mile.<BR>\n" );
document.write( "you want the number of miles per day that makes ultimo charge twice what primo charges.\r<BR>\n" );
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document.write( "let x equal the number of miles.\r<BR>\n" );
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document.write( "the formula to solve is:\r<BR>\n" );
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document.write( "46 + .95x = 2 * (38 + .45*x)<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "46 + .95x = 76 + .90x<BR>\n" );
document.write( "subtract .90x from both sides of the equation and subtract 46 from both sides of the equation and simplify to get:<BR>\n" );
document.write( ".05x = 30<BR>\n" );
document.write( "solve for x to get:<BR>\n" );
document.write( "x = 600\r<BR>\n" );
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document.write( "when the daily mileage is 600, then ultimo will cost twice as much as primo.\r<BR>\n" );
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document.write( "for ultimo, the total charge is 46 + .95 * 600 = 616 dollars.<BR>\n" );
document.write( "for primo, the total charge is 38 + .45 * 600 =308 dollars.\r<BR>\n" );
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document.write( "616/308 = 2 which means the cost of ultimo for the day is twice the cost of primo for the day.\r<BR>\n" );
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document.write( "  </SPAN>\n" );
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