A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 55 pounds. The truck is transporting 60 large boxes and 50 small boxes. If the truck is carrying a total of 3150 pounds in boxes, how much does each type of box weigh?

Question

Mathematics

Raphael Novak

27 October, 18:03

A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 55 pounds. The truck is transporting 60 large boxes and 50 small boxes. If the truck is carrying a total of 3150 pounds in boxes, how much does each type of box weigh?

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Answers (1)

Know the Answer?

Titus Gonzales · Answer 1

Large boxes = 40 lbs.

Small boxes = 15 lbs.

Step-by-step explanation:

L = Large Box

S = Small Box

I started by making the equations, L + S = 55 and 60L + 50S = 3150. I made the first equation L = 55 - S and substituted that in for L in 60L + 50S = 3150. After finding S, I plugged that back into L + S = 55 and got the answers.