A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 75 pounds. The truck is transporting 55 large boxes and 70 small boxes. If the truck is carrying a total of 4575 pounds in boxes, how much does each type of box weigh?
Accepted Solution
A:
Answer:The answer is: Large boxes are 45 pounds and Small boxes are 30 pounds.Step-by-step explanation:Let l = large box and s = small box.One large box and one small box is equal to 75 lbs.l + s = 75Solve for s:s = 75 - l55 large boxes plus 70 small boxes weighs 4575 lbs.55l + 70s = 4575Substitute:55l + 70(75-l) = 457555l + 5250 - 70l = 4575-15l = -675l = 45 lbs.s = 75 - l = 75 - 45 = 30 lbs.Proof:55(45) + 70(30) = 45752475 + 2100 = 45754575 = 4575Hope this helps! Have a great day!