To solve the problem of adding 1,500 pounds to 1 ton, let's break it down step-by-step:
1. Understand the conversion of tons to pounds:
- 1 ton is equal to 2,000 pounds.
2. Add the given weights:
- We have 1,500 pounds.
- We also have 1 ton, which is 2,000 pounds.
3. Calculate the total weight:
- Adding these two amounts, we get:
[tex]\[ 1,500 \text{ pounds} + 2,000 \text{ pounds} = 3,500 \text{ pounds} \][/tex]
Next, let's determine if the other given values match any relevant conversions:
- [tex]\(\frac{1}{4}\)[/tex] ton:
- Converting [tex]\(\frac{1}{4}\)[/tex] ton to pounds:
[tex]\[ \frac{1}{4} \times 2,000 \text{ pounds} = 500 \text{ pounds} \][/tex]
- [tex]\(2 \frac{1}{2}\)[/tex] tons:
- Converting [tex]\(2 \frac{1}{2}\)[/tex] tons, which is 2.5 tons, to pounds:
[tex]\[ 2.5 \times 2,000 \text{ pounds} = 5,000 \text{ pounds} \][/tex]
- 2,500 pounds:
- This is already in pounds and does not match our total of 3,500 pounds.
- 3,500 pounds:
- This matches our calculated total weight.
Based on our calculations, the answers are:
- The total weight when adding 1,500 pounds to 1 ton is 3,500 pounds.
- [tex]\(\frac{1}{4}\)[/tex] ton equals 500 pounds.
- [tex]\(2 \frac{1}{2}\)[/tex] tons equals 5,000 pounds.
- The total weight correctly matches 3,500 pounds as validated by our earlier addition.
Thus, the total weight when adding 1,500 pounds and 1 ton is indeed:
[tex]\[ \boxed{3,500 \text{ pounds}} \][/tex]
