Problema Solution
A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 70 pounds. The truck is transporting 55 large boxes and 65 small boxes. If the truck is carrying a total of 4100 pounds in boxes, how much does each type of box weigh?
Answer provided by our tutors
Let
x = the weight of the large box, x>0
y = the weight of the small box, y>0
The combined weight of a large box and a small box is 70 pounds:
x + y = 70
The truck is transporting 55 large boxes and 65 small boxes.The truck is carrying a total of 4100 pounds in boxes.
55x + 65y = 4100
We have the following system of equations:
x + y = 70
55x + 65y = 4100
........
........
x = 45 lbs
y = 25 lbs
The large box weighs 45 lbs.
The small box weighs 25 lbs.