document.write( "Question 1201056: A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 90 pounds. The truck is transporting 65 large boxes and 70 small boxes. If the truck is carrying a total of 6000 pounds in boxes, how much does each type of box weigh?
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Algebra.Com's Answer #835306 by mananth(16946)![]() ![]() You can put this solution on YOUR website! The combined weight of a large box and a small box is 90 pounds.\r \n" ); document.write( "\n" ); document.write( "Let the small box weigh x pounds \n" ); document.write( "and large box weigh weigh y pounds \n" ); document.write( "Equating the numbers \n" ); document.write( "x+y =90 ....................1\r \n" ); document.write( "\n" ); document.write( " The truck is transporting 65 large boxes and 70 small boxes. The truck is carrying a total of 6000 pounds in boxes, \n" ); document.write( "Equating the weight \n" ); document.write( "70x +65y =6000 ..............2\r \n" ); document.write( "\n" ); document.write( "x+y =90 ( Multiply by -70 \n" ); document.write( "-70x-70y = -6300 \n" ); document.write( "70x +65y =6000 \n" ); document.write( "Add both equations \n" ); document.write( "-5y = -300 \n" ); document.write( "y= 60 pounds \n" ); document.write( "Balancex= 30 pounds\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |