A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 70 pounds. The truck is transporting 70 large boxes and 55 small boxes. If the truck is carrying a total of 4450 pounds in boxes, how much does each type of box weigh?
Accepted Solution
A:
Answer:one large box is 40 pounds one small box is 30 pounds Step-by-step explanation:let large be l and small be s , l + s = 70 ------- equation1 70l + 55s. = 4450 ------- equation 2 equation 1 multiply by 55,55l + 55s = 3850 ------ equation 3 equation 3 - equation 2 ,(70l + 55s) - (55l +55s) = 4450 - 385070l + 55s - 55l - 55s = 4450 - 3850 15l = 600 l = 40 sub l = 40 into equation 1 40 + s = 70 s = 70 - 40 s = 30