Consider the conversion between the units ounces and pounds. Fill in the appropriate values into the blank boxes using the conversion from ounce to pound or pound to ounce.
Understand the Problem
The question is asking to complete a table by converting between ounces and pounds using the appropriate conversion factors. The user needs to determine the missing values for ounces and pounds based on the given conversions.
Answer
The completed values are: - Ounces: 144, 32 - Pounds: 1, 3
Answer for screen readers
The completed table is as follows:
| Ounces | Pounds |
|---|---|
| 16 | 1 |
| 144 | 9 |
| 32 | 2 |
| 48 | 3 |
Steps to Solve
- Understanding the conversion factor
To convert ounces to pounds, remember that 1 pound is equal to 16 ounces. Thus:
$$ \text{Pounds} = \frac{\text{Ounces}}{16} $$
To convert pounds to ounces, use the inverse relationship:
$$ \text{Ounces} = \text{Pounds} \times 16 $$
- Fill in the first empty box (16 ounces)
Given 16 ounces, to find the corresponding pounds:
$$ \text{Pounds} = \frac{16}{16} = 1 $$
So, 16 ounces is equal to 1 pound.
- Fill in the second empty box (unknown ounces with 9 pounds)
To find ounces from 9 pounds:
$$ \text{Ounces} = 9 \times 16 = 144 $$
So, 9 pounds is equal to 144 ounces.
- Fill in the third empty box (unknown ounces with 2 pounds)
Similarly, to find ounces from 2 pounds:
$$ \text{Ounces} = 2 \times 16 = 32 $$
So, 2 pounds is equal to 32 ounces.
- Fill in the fourth empty box (48 ounces)
Given 48 ounces, to determine the corresponding pounds:
$$ \text{Pounds} = \frac{48}{16} = 3 $$
So, 48 ounces is equal to 3 pounds.
The completed table is as follows:
| Ounces | Pounds |
|---|---|
| 16 | 1 |
| 144 | 9 |
| 32 | 2 |
| 48 | 3 |
More Information
The conversion between ounces and pounds is important in cooking, nutrition, and many industries. Understanding these relationships helps ensure accuracy in measurement.
Tips
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