document.write( "Question 1141607: The ABC Shipping Company charges $290 for all packages weighing less than or equal to 5lbs, $520 for packages weighing more than 5lbs and less than 10lbs, and $800 for all packages weighing 10lbs or more. the number of packages weighing 5lbs or less is 50% more than the number of packages weighing 10lbs or more. one day shipping charges for 300 orders was $150,800. find the number of packages in each category. \n" ); document.write( "

Algebra.Com's Answer #762187 by ikleyn(52790) $\"\"$ $\"About$

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document.write( "Let x = # of packages weighing 101 lbs or more.\r\n" );
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document.write( "Then the number of packages weighting 51 lbs or less is 1.5x,\r\n" );
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document.write( "and the number of packages weighting between 51 lbs and 101 lbs is  (300 - x - 1.5x) = (300-2.5x).\r\n" );
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document.write( "So you have this single equation for x\r\n" );
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document.write( "    290*(1.5x) + 520*(300-2.5x) + 800x = 150800.\r\n" );
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document.write( "The setup is done. The rest is just technique.\r\n" );
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document.write( "Solve for x and then find the number of packages in each category.\r\n" );
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\n" ); document.write( "\n" ); document.write( "The lesson to learn from my solution is THIS:\r
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document.write( "    the problem is to be solved using only one equation for one single unknown - \r\n" );
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document.write( "    not two equations for 2 unknowns and not 3 equations for 3 unknowns.\r\n" );
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document.write( "    Your major task in solving such problems is to \"catch\" this fact and then to choose the leading unknown \r\n" );
document.write( "    and to build an equation around it.\r\n" );
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\n" ); document.write( "\n" ); document.write( "To see many other similar solved problems, look into the lessons\r
\n" ); document.write( "\n" ); document.write( " - Advanced word problems to solve using a single linear equation\r
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