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 The truck is transporting 60 large boxes and 55 small boxes. If the truck is carrying a total of 4050 pounds in boxes, how much does each type of box weigh?

Answer 1

Explanation:

x = weight of a small box

y = weight of a large box

x + y = 70 pounds

55x + 60y = 4050 pounds

from the first equation we get

x = 70 - y

and we can use that identity in the second equation :

55(70 - y) + 60y = 4050

3,850 - 55y + 60y = 4050

5y = 200

y = 40 pounds

x = 70 - y = 70 - 40 = 30 pounds

so, a small box weighs 30 pounds, and a large box weighs 40 pounds.