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 55 large boxes and 65 small boxes. If the truck is carrying a total of 5300 pounds in boxes, how much does each type of box weigh?

Let the weight of a large box be x pounds and the weight of a small box be y pounds.

From the information given:
1. x + y = 90 (combined weight of a large and small box)
2. 55x + 65y = 5300 (total weight of boxes on the truck)

Solving the first equation for y, we get y = 90 - x.

Substitute y = 90 - x into the second equation:
55x + 65(90 - x) = 5300
55x + 5850 - 65x = 5300
-10x = -550
x = 55

Now, substitute x = 55 back into y = 90 - x:
y = 90 - 55
y = 35

Therefore, the large box weighs 55 pounds and the small box weighs 35 pounds.