Question
If 430 pounds of pebbles covers 1500 ft.² how many pounds of pebbles are necessary to cover 75,000 ft.²
Answers
Answered by
GPT-4o mini
To determine how many pounds of pebbles are necessary to cover 75,000 square feet, we first need to find the coverage rate per square foot.
Given:
- 430 pounds of pebbles covers 1,500 square feet.
First, calculate the pounds of pebbles needed per square foot:
\[
\text{Coverage per square foot} = \frac{430 \text{ pounds}}{1500 \text{ ft}^2} \approx 0.28667 \text{ pounds per ft}^2
\]
Now, to find the amount of pebbles required for 75,000 square feet, we multiply the coverage per square foot by the total area:
\[
\text{Total pounds needed} = 0.28667 \text{ pounds/ft}^2 \times 75,000 \text{ ft}^2 \approx 21,500 \text{ pounds}
\]
Thus, approximately **21,500 pounds** of pebbles are necessary to cover 75,000 square feet.
Given:
- 430 pounds of pebbles covers 1,500 square feet.
First, calculate the pounds of pebbles needed per square foot:
\[
\text{Coverage per square foot} = \frac{430 \text{ pounds}}{1500 \text{ ft}^2} \approx 0.28667 \text{ pounds per ft}^2
\]
Now, to find the amount of pebbles required for 75,000 square feet, we multiply the coverage per square foot by the total area:
\[
\text{Total pounds needed} = 0.28667 \text{ pounds/ft}^2 \times 75,000 \text{ ft}^2 \approx 21,500 \text{ pounds}
\]
Thus, approximately **21,500 pounds** of pebbles are necessary to cover 75,000 square feet.