Answer :
To determine the maximum number of palettes of roofing material that a construction elevator can carry in one trip, we need to consider both the total weight capacity of the elevator and the weight of the elevator operator. Let's break this down step-by-step:
1. Understand the Problem:
- The elevator can carry at most 2,320 pounds in total.
- The elevator operator weighs 195 pounds.
- Each palette of roofing material weighs 425 pounds.
2. Determine the Remaining Capacity:
- First, we need to subtract the weight of the elevator operator from the total capacity of the elevator:
[tex]\[
\text{Remaining Capacity} = 2,320 \text{ pounds} - 195 \text{ pounds} = 2,125 \text{ pounds}
\][/tex]
3. Calculate the Maximum Number of Palettes:
- To find out how many palettes can fit within the remaining weight capacity, we divide the remaining capacity by the weight of one palette of roofing material:
[tex]\[
\text{Maximum Number of Palettes} = \frac{2,125 \text{ pounds}}{425 \text{ pounds per palette}} \approx 5
\][/tex]
- Since you cannot carry a fraction of a palette, the maximum number of full palettes that can be carried is 5.
4. Conclusion:
- The elevator can carry a maximum of 5 palettes of roofing material in one trip, along with the operator.
So, the correct answer from the options provided is 5.
1. Understand the Problem:
- The elevator can carry at most 2,320 pounds in total.
- The elevator operator weighs 195 pounds.
- Each palette of roofing material weighs 425 pounds.
2. Determine the Remaining Capacity:
- First, we need to subtract the weight of the elevator operator from the total capacity of the elevator:
[tex]\[
\text{Remaining Capacity} = 2,320 \text{ pounds} - 195 \text{ pounds} = 2,125 \text{ pounds}
\][/tex]
3. Calculate the Maximum Number of Palettes:
- To find out how many palettes can fit within the remaining weight capacity, we divide the remaining capacity by the weight of one palette of roofing material:
[tex]\[
\text{Maximum Number of Palettes} = \frac{2,125 \text{ pounds}}{425 \text{ pounds per palette}} \approx 5
\][/tex]
- Since you cannot carry a fraction of a palette, the maximum number of full palettes that can be carried is 5.
4. Conclusion:
- The elevator can carry a maximum of 5 palettes of roofing material in one trip, along with the operator.
So, the correct answer from the options provided is 5.
