Adelivery truck is transporting boxes of two sizes: large and small. the combined weight of a large box and a small box is 95 pounds. the truck is transporting 50 large boxes and 65 small boxes. if the truck is carrying a total of 5275 pounds in boxes, how much does each type of box weigh?

First we define the variables:
 x = weight of a large box
 y = weight of a small box
 We write the system of equations:
 x + y = 95
 50x + 65y = 5275
 The solution to the system of equations by the graphic method is:
 x = 60
 y = 35
 Note: see attached image.
 
 each type of box weigh:
 weight of a large box = 60 pounds
 weight of a small box = 35 pounds