Verified Answer :

  • Identify the conversion factor: \(1 \text{ pound} = 16 \text{ ounces}\).
  • Convert \(8\) pounds to ounces: \(8 \text{ lb} \times 16 \text{ oz/lb} = 128 \text{ oz}\).
  • Compare the two values: \(129 \text{ oz} > 128 \text{ oz}\).
  • Conclude that \(129\) ounces is greater, making option (a) the correct choice: \(\boxed{a}\).

Explanation

  1. Problem Analysis and Units Conversion Strategy

We are asked to compare two quantities: \(129\) ounces and \(8\) pounds. To make a meaningful comparison, we must first express both quantities in the same units. We know that the conversion factor between pounds and ounces is \(1 \text{ pound} = 16 \text{ ounces}\). Our objective is to determine whether \(129\) ounces is greater than, less than, or equal to \(8\) pounds.

  1. Converting Pounds to Ounces

To convert \(8\) pounds into ounces, we multiply the number of pounds by the conversion factor of \(16\) ounces per pound:
\[8 \text{ pounds} = 8 \times 16 \text{ ounces}.\]
Performing the multiplication, we find that \(8 \times 16 = 128\). Therefore, \(8\) pounds is equal to \(128\) ounces.

  1. Comparison and Conclusion

Now we compare the two quantities in ounces: \(129\) ounces and \(128\) ounces. Since \(129 > 128\), it follows that \(129\) ounces is greater than \(8\) pounds. Comparing this to the given options, we identify that option (a) corresponds to the correct answer.

Examples

Understanding unit conversions is essential in daily life, such as when baking, where recipes might list ingredients in different units. For example, if a cookie recipe calls for 1 pound of flour but your scale only measures in ounces, knowing that 1 pound is 16 ounces allows you to measure exactly 16 ounces. This fundamental skill prevents mistakes in cooking, shopping, and construction, ensuring you always have the correct amount of material for your task.

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