Answer :
Sure! Let's go through the steps to find out the maximum number of palettes of roofing material the elevator can carry in one trip:
1. Determine the Maximum Weight Capacity of the Elevator:
The elevator can carry a total weight of 2,320 pounds.
2. Account for the Weight of the Elevator Operator:
The operator weighs 195 pounds. This weight must be subtracted from the elevator's total capacity to find out how much weight is left for the palettes.
3. Calculate the Remaining Capacity for the Palettes:
Subtract the weight of the operator from the total capacity of the elevator:
[tex]\[
2320 \text{ pounds} - 195 \text{ pounds} = 2125 \text{ pounds}
\][/tex]
So, there is 2,125 pounds of weight capacity available for the palettes.
4. Determine the Weight of Each Palette:
Each palette of roofing material weighs 425 pounds.
5. Find the Maximum Number of Palettes that Can Be Carried:
To find this, divide the remaining capacity by the weight of one palette:
[tex]\[
\frac{2125 \text{ pounds}}{425 \text{ pounds per palette}} = 5
\][/tex]
This means the elevator can carry a maximum of 5 palettes in one trip without exceeding the weight limit.
So the correct answer is 5 palettes.
1. Determine the Maximum Weight Capacity of the Elevator:
The elevator can carry a total weight of 2,320 pounds.
2. Account for the Weight of the Elevator Operator:
The operator weighs 195 pounds. This weight must be subtracted from the elevator's total capacity to find out how much weight is left for the palettes.
3. Calculate the Remaining Capacity for the Palettes:
Subtract the weight of the operator from the total capacity of the elevator:
[tex]\[
2320 \text{ pounds} - 195 \text{ pounds} = 2125 \text{ pounds}
\][/tex]
So, there is 2,125 pounds of weight capacity available for the palettes.
4. Determine the Weight of Each Palette:
Each palette of roofing material weighs 425 pounds.
5. Find the Maximum Number of Palettes that Can Be Carried:
To find this, divide the remaining capacity by the weight of one palette:
[tex]\[
\frac{2125 \text{ pounds}}{425 \text{ pounds per palette}} = 5
\][/tex]
This means the elevator can carry a maximum of 5 palettes in one trip without exceeding the weight limit.
So the correct answer is 5 palettes.
