Park Curry
07/07/2023 · Junior High School
The gross weight of a package and its contents is 11 pounds 5 ounces. If the packaging weighs 1 pound 15 ounces, what's the net weight of the contents?
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To find the net weight of the contents, we need to subtract the weight of the packaging from the gross weight of the package and its contents.
1. **Convert the weights to ounces** for easier calculation:
- Gross weight: 11 pounds 5 ounces
- Convert pounds to ounces: \(11 \text{ pounds} = 11 \times 16 = 176 \text{ ounces}\)
- Add the additional ounces: \(176 \text{ ounces} + 5 \text{ ounces} = 181 \text{ ounces}\)
- Packaging weight: 1 pound 15 ounces
- Convert pounds to ounces: \(1 \text{ pound} = 1 \times 16 = 16 \text{ ounces}\)
- Add the additional ounces: \(16 \text{ ounces} + 15 \text{ ounces} = 31 \text{ ounces}\)
2. **Subtract the weight of the packaging from the gross weight**:
\[
\text{Net weight} = \text{Gross weight} - \text{Packaging weight} = 181 \text{ ounces} - 31 \text{ ounces} = 150 \text{ ounces}
\]
3. **Convert the net weight back to pounds and ounces**:
- To convert ounces back to pounds, divide by 16:
\[
150 \text{ ounces} \div 16 = 9 \text{ pounds} \text{ (with a remainder)}
\]
- Calculate the remainder:
\[
150 \text{ ounces} - (9 \text{ pounds} \times 16 \text{ ounces/pound}) = 150 - 144 = 6 \text{ ounces}
\]
Thus, the net weight of the contents is **9 pounds 6 ounces**.
Quick Answer
The net weight of the contents is 9 pounds 6 ounces.
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