document.write( "Question 1189915: A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 80 pounds. The truck is transporting 60 large boxes and 50 small boxes. If the truck is carrying a total of 4500 pounds in boxes, how much does each type of box weigh? \n" ); document.write( "
Algebra.Com's Answer #821420 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \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 80 pounds. \n" ); document.write( "The truck is transporting 60 large boxes and 50 small boxes. \n" ); document.write( "If the truck is carrying a total of 4500 pounds in boxes, \n" ); document.write( "how much does each type of box weigh? \n" ); document.write( "~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " It can be solved using arithmetic only, without Algebra.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Since the combined weight of one large box and one small box is 80 pounds,\r\n" ); document.write( "\r\n" ); document.write( "50 large boxes and 50 small boxes weight 50*80 = 4000 pounds, combined.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It means that remaining 60-50 = 10 large boxes weight 4500-4000 = 500 pounds.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Hence, one large box weights 500/10 = 50 pounds.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It means that each small box weights 80-50 = 30 pounds.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved (mentally).\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |