document.write( "Question 1195578: A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 65 pounds. The truck is transporting 55 large boxes and 65 small boxes. If the truck is carrying a total of 3775 pounds in boxes, how much does each type of box weigh? \n" ); document.write( "

Algebra.Com's Answer #828098 by ikleyn(52790) $\"\"$ $\"About$

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\n" ); document.write( "A delivery truck is transporting boxes of two sizes: large and small.
\n" ); document.write( "The combined weight of a large box and a small box is 65 pounds.
\n" ); document.write( "The truck is transporting 55 large boxes and 65 small boxes.
\n" ); document.write( "If the truck is carrying a total of 3775 pounds in boxes,
\n" ); document.write( "how much does each type of box weigh?
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\n" ); document.write( "\n" ); document.write( "            This problem can be solved in two ways.\r
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\n" ); document.write( "\n" ); document.write( "            One way is to use two unknowns and a system of two equation.\r
\n" ); document.write( "\n" ); document.write( "            Another way is to use SINGLE unknown and one equation.\r
\n" ); document.write( "\n" ); document.write( "            Since the second way is simpler/shorter, I choose it to solve the problem.\r
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document.write( "Let x be the weight of the smaller box, in pounds.\r\n" );
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document.write( "then the weight of the larger box is (65-x) pounds, according to the problem.\r\n" );
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document.write( "Now, I write equation for the total weight\r\n" );
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document.write( "     65x + 55*(65-x) = 3775  pounds.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    65x + 55*65 - 55x = 3775\r\n" );
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document.write( "    65x - 55x         = 3775 - 55*65\r\n" );
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document.write( "        10x           =     200\r\n" );
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document.write( "          x           =     200/10 = 20.\r\n" );
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document.write( "ANSWER.  Small boxes weight 20 pounds each.\r\n" );
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document.write( "         Large boxes weight  65-20 = 45 pounds each.\r\n" );
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document.write( "CHECK.  Total weight is  65*20 + 55*45 = 3775 pounds,    correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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