A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 60 pounds. The truck is transporting 70 large boxes and 55 small boxes. If the truck is carrying a total of 3975 pounds in boxes, how much does each type of box weigh?

The small box weights 15 pounds, and the large box weights 45 pounds.

Step-by-step explanation:

1. Let's review all the information given to answer the question correctly:

Weight of small and large box combined = 60 pounds

Truck is transporting 70 large boxes and 55 small boxes

Total weight of the boxes the truck is carrying = 3,975 pounds

2. How much does each type of box weigh?

Weight of the small box = x

Weight of the large box = 60 - x

For solving the value of x, we use the following equation:

70 * (60 - x) + 55 * x = 3,975

4,200 - 70x + 55x = 3,975

- 15x = 3,975 - 4,200 (Like terms)

- 15x = - 225

x = 15 (Dividing by 15 at both sides)

The small box weights 15 pounds, therefore the large box weights 45 pounds (60 - 15).