Question
1,650 square foot zach will buy shingles in 33.33 square foot bundles plus one extra bulne case for this project 1,650 by 33.33 and determent he needs 50 bundles of singles at the end of the project he has less than one full bundle of shingles left which calculation did zach most likey make
Answers
GPT-4o mini
To determine how many bundles of shingles Zach needs, we can start by calculating the number of bundles needed for his project.
1. **Calculate the Total Area to be Covered**:
Zach needs to cover 1,650 square feet.
2. **Area Covered per Bundle**:
Each bundle covers 33.33 square feet.
3. **Calculate the Number of Bundles Required**:
To find out how many bundles Zach needs, we divide the total area by the area covered per bundle:
\[
\text{Number of Bundles} = \frac{\text{Total Area}}{\text{Area per Bundle}} = \frac{1650 \text{ sq ft}}{33.33 \text{ sq ft/bundle}} \approx 49.5 \text{ bundles}
\]
4. **Rounding Up**:
Since bundles cannot be purchased in fractions, Zach would need to round up to the nearest whole number, which would generally be 50 bundles.
5. **Extra Bundle**:
Zach needs one extra bundle for his project. Therefore, he would buy:
\[
50 \text{ bundles} + 1 \text{ extra bundle} = 51 \text{ bundles total}
\]
Now, if at the end of the project, he has less than one full bundle of shingles left, he likely over-calculated or planned conservatively to ensure he had enough material for the project, considering potential mistakes or waste.
**Final Calculation**:
The breakdown of Zach’s likely calculation is:
- Starting total area: 1,650 sq ft
- Area per bundle: 33.33 sq ft
- Total bundles needed (without rounding): 49.5 bundles
- Rounding up to ensure complete coverage: 50 bundles
- Including an extra bundle for safety: 51 bundles purchased
In conclusion, Zach most likely calculated the number of bundles by dividing the total area by the area each bundle covers and then added an extra bundle for safety. After completing the project, the fact that he has less than one full bundle left suggests he accounted for a small surplus but ended up with some leftover material.
1. **Calculate the Total Area to be Covered**:
Zach needs to cover 1,650 square feet.
2. **Area Covered per Bundle**:
Each bundle covers 33.33 square feet.
3. **Calculate the Number of Bundles Required**:
To find out how many bundles Zach needs, we divide the total area by the area covered per bundle:
\[
\text{Number of Bundles} = \frac{\text{Total Area}}{\text{Area per Bundle}} = \frac{1650 \text{ sq ft}}{33.33 \text{ sq ft/bundle}} \approx 49.5 \text{ bundles}
\]
4. **Rounding Up**:
Since bundles cannot be purchased in fractions, Zach would need to round up to the nearest whole number, which would generally be 50 bundles.
5. **Extra Bundle**:
Zach needs one extra bundle for his project. Therefore, he would buy:
\[
50 \text{ bundles} + 1 \text{ extra bundle} = 51 \text{ bundles total}
\]
Now, if at the end of the project, he has less than one full bundle of shingles left, he likely over-calculated or planned conservatively to ensure he had enough material for the project, considering potential mistakes or waste.
**Final Calculation**:
The breakdown of Zach’s likely calculation is:
- Starting total area: 1,650 sq ft
- Area per bundle: 33.33 sq ft
- Total bundles needed (without rounding): 49.5 bundles
- Rounding up to ensure complete coverage: 50 bundles
- Including an extra bundle for safety: 51 bundles purchased
In conclusion, Zach most likely calculated the number of bundles by dividing the total area by the area each bundle covers and then added an extra bundle for safety. After completing the project, the fact that he has less than one full bundle left suggests he accounted for a small surplus but ended up with some leftover material.