Verified Answer :

  • Convert 7 tons to pounds by multiplying by the conversion factor of 2,000: \(7 \times 2,000 = 14,000\) pounds.
  • Compare the converted value of 14,000 pounds to the given 14,001 pounds.
  • Observe that \(14,001 > 14,000\).
  • Conclude that 14,001 pounds is more, so the answer is \(\boxed{14,001 \text{ pounds}}\).

Explanation

  1. Problem Analysis and Unit Conversion Strategy

We are comparing two quantities: 7 tons and 14,001 pounds. To determine which is greater, we need to express both quantities in the same unit. The standard unit of weight conversion in this context (US short tons) is that one ton is equal to 2,000 pounds. Our goal is to convert the 7 tons into pounds and then compare this result with 14,001 pounds.

  1. Converting Tons to Pounds

To convert 7 tons to pounds, we multiply the number of tons by the number of pounds in a single ton:
\[7 \text{ tons} \times 2,000 \frac{\text{pounds}}{\text{ton}} = 14,000 \text{ pounds}.\]
So, 7 tons is equivalent to 14,000 pounds.

  1. Comparison of Quantities

Now that both quantities are in pounds, we can directly compare them:

  • Quantity 1: 14,000 pounds
  • Quantity 2: 14,001 pounds

Comparing these values, we see that \(14,000 < 14,001\). Therefore, 14,001 pounds is a larger mass than 7 tons.

  1. Conclusion

Based on the calculation, 14,001 pounds is greater than 7 tons. Thus, the correct choice is b. The final answer is \(\boxed{14,001 \text{ pounds}}\).

Examples

Understanding weight conversions is vital in logistics and shipping. For example, if you are shipping goods and a freight elevator has a weight limit of 14,000 pounds, knowing that 7 tons of material is exactly the limit allows you to safely transport your load. If you were to add just one more pound, you would exceed the capacity. Being precise with conversions helps in ensuring safety and compliance with weight restrictions in everyday life.

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