document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1054986>Question 1054986</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A ship called at an African port, but was too large to tie up at a whatf. The whole cargo was unloaded by 25 barges, each taking 3 loads. If each barge had been large enough to hold 160 tonnes more, there would have been only one load each. How heavy was the ships cargo? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #670198 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=670198\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x = the number of tons of cargo that each barge can carry in one load.\r<BR>\n" );
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document.write( "each barge carried 3 loads each.\r<BR>\n" );
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document.write( "the total tons of cargo carried was therefore 3 * 25 * x which is equal to 75 * x.\r<BR>\n" );
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document.write( "if each barge had been able to carry 160 more tons per load, then the 25 barges would only have had to carry 1 load apiece.\r<BR>\n" );
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document.write( "the total tons of cargo carried would therefore have been 1 * 25 * (x + 160) which is equal to 25 * (x + 160).\r<BR>\n" );
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document.write( "since the total tons of cargo that was unloaded had to be the same, you get:\r<BR>\n" );
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document.write( "75 * x = 25 * (x + 160).\r<BR>\n" );
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document.write( "simplify to get 75 * x = 25 * x + 4000\r<BR>\n" );
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document.write( "subtract 25 * x from both sides of the equation to get 50 * x = 4000\r<BR>\n" );
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document.write( "divide both sides of the equation by 50 to get x = 80.\r<BR>\n" );
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document.write( "each barge was able to carry 80 tons of cargo in each load.\r<BR>\n" );
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document.write( "the total tons of cargo carried was therefore 25 * 3 * 80 = 6000 tons.\r<BR>\n" );
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document.write( "if each barge were able to carry 160 more tons each, then each barge would have been able to carry 80 + 160 = 240 tons of cargo each.\r<BR>\n" );
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document.write( "they would then have only had to take 1 load each.\r<BR>\n" );
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document.write( "25 * 1 * 240 = 6000 total tons of cargo.\r<BR>\n" );
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document.write( "either way, 6000 tons of cargo would have been unloaded.\r<BR>\n" );
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document.write( "the ship's cargo therefore had to weigh 6000 tons. </SPAN>\n" );
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