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7. a freight elevator has a weight limit of 4 tons. each crate in the e…

Question

  1. a freight elevator has a weight limit of 4 tons. each crate in the elevator weighs 250 pounds. if there are 25 crates in the elevator, which sentence is true? a. the elevator can still hold 1,750 pounds. b. the crates are 2,250 pounds over the weight limit. c. the crates are 1,250 pounds over the weight limit. d. the elevator can still hold 2,750 pounds.

Explanation:

Step1: Convert weight - limit to pounds

Since 1 ton = 2000 pounds, a 4 - ton weight - limit is \(4\times2000 = 8000\) pounds.

Step2: Calculate the total weight of the crates

Each crate weighs 250 pounds, and there are 25 crates. So the total weight of the crates is \(250\times25=6250\) pounds.

Step3: Calculate the remaining weight capacity

Subtract the total weight of the crates from the weight - limit of the elevator. The remaining weight capacity is \(8000 - 6250=1750\) pounds.

Answer:

A. The elevator can still hold 1,750 pounds.