Question

A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 55 pounds each, and the small boxes weigh 30 pounds each. There are 110 boxes in all. If the truck is carrying a total of 4800 pounds in boxes, how many of each type of box is it carrying?

Answer 1

Answer:

Number of small boxes is 50 and number of big boxes is 60

Step-by-step explanation:

let the number of small box represent x and the number of big box represent y

Hence total number of boxes = x + y = 110 ......................Eqn1

Total weight of boxes = 30x + 55y = 4800----------------Eqn2

Solving both equations simultaneously

From Eqn1, x = 110-y, substitute it into equation 2

Hence, 4800 = 30(110-y) + 55y

1500 = 25y

y = 60

X = 110 - 60 = 50

Number of small boxes is 50 and number of big boxes is 60