A freight elevator has a weight limit of 2 tons. Each crate that is loaded weighs 80 pounds. What is the greatest number of crates that can be loaded onto the elevator? (1 ton = 2,... A freight elevator has a weight limit of 2 tons. Each crate that is loaded weighs 80 pounds. What is the greatest number of crates that can be loaded onto the elevator? (1 ton = 2,000 pounds)
Understand the Problem
The question is asking for the maximum number of crates that can be loaded onto a freight elevator with a weight limit of 2 tons, where each crate weighs 80 pounds. To solve this, we need to convert the weight limit from tons to pounds and then divide by the weight of each crate.
Answer
50
Answer for screen readers
The greatest number of crates that can be loaded onto the elevator is $50$.
Steps to Solve
- Convert the weight limit from tons to pounds
Since 1 ton equals 2,000 pounds, the weight limit of 2 tons can be converted as follows:
$$ 2 \text{ tons} = 2 \times 2,000 \text{ pounds} = 4,000 \text{ pounds} $$
- Determine how many crates can be loaded
To find the maximum number of crates that can fit within the weight limit, divide the total weight limit by the weight of each crate:
$$ \text{Number of crates} = \frac{\text{Total weight limit}}{\text{Weight of each crate}} $$
Substituting the values we have:
$$ \text{Number of crates} = \frac{4,000 \text{ pounds}}{80 \text{ pounds}} $$
- Calculate the number of crates
Now, perform the calculation:
$$ \text{Number of crates} = 50 $$
The greatest number of crates that can be loaded onto the elevator is $50$.
More Information
This problem illustrates basic concepts of unit conversion and division. Understanding weight limits is crucial for proper weight management in freight operations.
Tips
- Confusing units: Sometimes, people forget to convert tons to pounds before performing calculations. Always ensure that the units match before dividing.
- Not considering crate weight correctly: Make sure the weight of each crate is accurately applied in the calculation.
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