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 65 small boxes. if the truck is carrying a total of 4425 pounds in boxes, how much does each type of box weigh?

Let a = weight of large box in pounds

Let b = weight of small box in pounds

(1) 65a + 55b=4425

(2) a+b=75

Now we can simultaneously solve these equations.

a = 75 - b. Hence 65 (75 - b) + 55b = 4425 So 4875 - 10b = 4425 and 450 = 10b hence b = 45.

SImilarly a = 30. Now we can verify too by putting in the calculated values.