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 90 pounds. The truck is transporting 50 large boxes and 65 small boxes. If the truck is carrying a total of 4950 pounds in boxes, how much does each type of box weigh?

Answer 1

small = 30 pounds

large = 60 pounds

Explanation:

two equations can be derived from the question

x + y = 90 eqn 1

50x + 65y = 4950 eqn 2

x = small box

y = big box

multiply equation 1 by 50

50x + 50y = 4500 eqn 3

subtract equation 3 from 2

15y = 450

y = 30

substitute for y in equation 1

y = 60