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 80 pounds. The tuck is transporting

50 large boxes and 55 small boxes. If the truck is carrying a total of 4125 pounds in boxes, how much does each type of box weigh?

Large box:
Small box:

Answer 1

small=15 large=40

Explanation:

x=large box

y=small box

55 = x + y

50x + 55y = 2825

50x + 55( 55 - x) = 2825

50x + 3025 - 55x = 2825

0 = 55x - 50 x + 2825 - 3025

0 = 5x - 200

200 = 5x

x=40

y = 15