Question

A warehouse elevator can hold 1750 pounds. A 200 pound worker loads the elevator with boxes that weigh 75 pounds each. The inequality describes the maximum number of boxes the worker can put on the elevator if he is also on the elevator. Which statement is true?

Answer 1

Answer: He can load at most 20 boxes.

Explanation:

Let x = Number of boxes.

Then, Weight of 75 boxes = 75x

Also, Weight of worker = 200 pounds

So total weight in elevator = Weight of 75 boxes + Weight of worker

= 75x +200

A warehouse elevator can hold 1750 pounds.

∴ 75x +200 ≤ 1750

⇒ 75x ≤ 1750 -200

⇒ 75x ≤ 1550

⇒ x ≤ 20.67 [Divide both sides by 75]

It implies the maximum number of boxes it can hold = 20

Hence, the true statement is

He can load at most 20 boxes.