document.write( "Question 1108713: Problem Page
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document.write( "A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is
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document.write( "75
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document.write( " pounds. The truck is transporting
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document.write( "55
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document.write( " large boxes and
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document.write( "70
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document.write( " small boxes. If the truck is carrying a total of
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document.write( "4575
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document.write( " pounds in boxes, how much does each type of box weigh? \n" );
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Algebra.Com's Answer #723735 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A delivery truck is transporting boxes of two sizes: large and small. \n" ); document.write( "let L = the wt of the large box \n" ); document.write( "let s = the wt of the small box \n" ); document.write( " The combined weight of a large box and a small box is 75 pounds. \n" ); document.write( "L + s = 75 \n" ); document.write( "or \n" ); document.write( "L = (75-s) \n" ); document.write( " The truck is transporting 55 large boxes and 70 small boxes. \n" ); document.write( " If the truck is carrying a total of 4575 pounds in boxes, \n" ); document.write( "55L + 70s = 4575 \n" ); document.write( "simplify, divide by 5 \n" ); document.write( "11L + 14s = 915 \n" ); document.write( "replace L with (75-s) \n" ); document.write( "11(75-s) + 14s = 915 \n" ); document.write( "825 - 11s + 14s = 915 \n" ); document.write( "-11s + 14s = 915 - 825 \n" ); document.write( "3s = 90 \n" ); document.write( "s = 90/3 \n" ); document.write( "s = 30 lb is the wt of the small box \n" ); document.write( "then obviously, \n" ); document.write( "75 - 30 = 45 lb is the wt of the large box \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this in the total weight equation \n" ); document.write( "55(45) + 70(30) = 4575 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |