document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=534134>Question 534134</A>: <I><SPAN STYLE=\"word-break: break-all;\"> on a plane, two men together had 135 kilograms of luggage.The first paid $1.35 for his excess luggage and the second paid S2.70 for his excess luggage. had all the luggage belonged to one person, the excess luggage charge would have been $8.10. At most how many kilograms of luggage is each person permitted to bring on the plane free of additional charge. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #351344 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=351344\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x kg be the free allowance\r<BR>\n" );
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document.write( "for both of them the free allowance = 2x<BR>\n" );
document.write( "135-2x is the excess luggage\r<BR>\n" );
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document.write( "135-2x they paid $4.05\r<BR>\n" );
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document.write( "1 kg they pay how much ?\r<BR>\n" );
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document.write( "They pay 4.05/(135-2x) per kg excess\r<BR>\n" );
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document.write( "Single person\r<BR>\n" );
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document.write( "135-x is the excess luggage\r<BR>\n" );
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document.write( "For 135 kg he pays $8.10\r<BR>\n" );
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document.write( "He pays 8.10/(135-x)per kg for excess luggage\r<BR>\n" );
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document.write( "The rate per kg for excess luggage is the same so equate both\r<BR>\n" );
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document.write( "4.05/(135-2x)=8.10/(135-x)\r<BR>\n" );
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document.write( "4.05(135-x)=8.10(135-2x)\r<BR>\n" );
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document.write( "546.75-4.05x=1093.5-16.2x\r<BR>\n" );
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document.write( "12.15x=546.75<BR>\n" );
document.write( "/12.15<BR>\n" );
document.write( "x=45 kg free luggage allowance\r<BR>\n" );
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document.write( "m.ananth@hotmail.ca </SPAN>\n" );
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