document.write( "Question 1203933: A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 40 pounds each, and the small boxes weigh 25 pounds each. There are 120 boxes in all. If the truck is carrying a total of 3750 pounds in boxes, how many of each type of box is it carrying? \n" ); document.write( "
Algebra.Com's Answer #839858 by AngelSchuck(1)![]() ![]() ![]() You can put this solution on YOUR website! x = number of large boxes \n" ); document.write( "120-x = number of small boxes\r \n" ); document.write( "\n" ); document.write( "40x = weight of the large boxes only \n" ); document.write( "25(120-x) = weight of the small boxes only \n" ); document.write( "40x + 25(120-x) = total weight = 3750 \n" ); document.write( "40x + 25(120-x) = 3750\r \n" ); document.write( "\n" ); document.write( "Let's solve for x. \n" ); document.write( "40x + 25(120-x) = 3750 \n" ); document.write( "40x + 3000-25x = 3750 \n" ); document.write( "15x + 3000 = 3750 \n" ); document.write( "15x = 3750-3000 \n" ); document.write( "15x = 750 \n" ); document.write( "x = 750/15 \n" ); document.write( "x = 50 \n" ); document.write( "120-x = 120-50 = 70\r \n" ); document.write( "\n" ); document.write( "Answers: \n" ); document.write( "50 large boxes and 70 small boxes \n" ); document.write( " |