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 75 pounds. The truck is transporting 55 large boxes and 70 small boxes. If the truck is carrying a total of 4575 pounds in boxes, how much does each type of box weigh?

Answer 1

Large box is 45 lbs. Small box is 30 lbs.

Explanation:

a=1 large box

b= 1 small box

a + b = 75

55a + 70b = 4575

- - -

55a 55b 4125

=

15b = 450

b = 30

a + 30 = 75

- 30 -30

a = 45

a = 45

b = 30