Problem 112
Question
An elevator at a construction site has a maximum capacity of 2800 pounds. If the elevator operator weighs 265 pounds and each cement bag weighs 65 pounds, how many bags of cement can be safely lifted on the elevator in one trip?
Step-by-Step Solution
Verified Answer
The operator can safely lift 39 bags of cement in one trip.
1Step 1: Understand the Capacity Limit
The problem states that the elevator can handle a maximum weight of 2800 pounds.
2Step 2: Deduct the Operator's Weight
The operator weighs 265 pounds. So, after considering the operator's weight the elevator can still handle \(2800 - 265 = 2535\) pounds.
3Step 3: Calculate the Number of Cement Bags
Each bag of cement weighs 65 pounds. Thus, the number of bags that can be safely lifted at once is calculated as the floor value of \(2535/65\), which equals 39.
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