Question

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?

Answer 1

one large box is 40 pounds

one small box is 30 pounds

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 - 3850

70l + 55s - 55l - 55s = 4450 - 3850

15l = 600

l = 40

sub l = 40 into equation 1

40 + s = 70

s = 70 - 40

s = 30