Question

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 70 small boxes. If the truck is carrying a total of 4575 pounds in boxes, how much does each type of box weigh?

Answer 1

Answer:

The answer is: Large boxes are 45 pounds and Small boxes are 30 pounds.

Step-by-step explanation:

Let l = large box and s = small box.

One large box and one small box is equal to 75 lbs.

l + s = 75

Solve for s:

s = 75 - l

55 large boxes plus 70 small boxes weighs 4575 lbs.

55l + 70s = 4575

Substitute:

55l + 70(75-l) = 4575

55l + 5250 - 70l = 4575

-15l = -675

l = 45 lbs.

s = 75 - l = 75 - 45 = 30 lbs.

Proof:

55(45) + 70(30) = 4575

2475 + 2100 = 4575

4575 = 4575

Hope this helps! Have a great day!