Question
You've just purchased 12 lb of celery. You take it back to your kitchen and proceed to trim and cut it into pieces, ending up with 5.5 oz of trim. What is the yield percentage for the celery?
Question 4 options:
A)
36 percent
B)
97 percent
C)
78 percent
D)
52 percent
Question 4 options:
A)
36 percent
B)
97 percent
C)
78 percent
D)
52 percent
Answers
GPT-4o mini
To calculate the yield percentage for the celery, you can use the formula:
\[
\text{Yield Percentage} = \left( \frac{\text{Usable Weight}}{\text{Total Weight}} \right) \times 100
\]
1. First, convert the total weight of the celery from pounds to ounces. There are 16 ounces in a pound, so:
\[
12 \, \text{lb} \times 16 \, \text{oz/lb} = 192 \, \text{oz}
\]
2. Next, calculate the usable weight by subtracting the trim weight from the total weight:
\[
\text{Usable Weight} = \text{Total Weight} - \text{Trim Weight}
\]
\[
\text{Usable Weight} = 192 \, \text{oz} - 5.5 \, \text{oz} = 186.5 \, \text{oz}
\]
3. Now, calculate the yield percentage:
\[
\text{Yield Percentage} = \left( \frac{186.5 \, \text{oz}}{192 \, \text{oz}} \right) \times 100
\]
\[
\text{Yield Percentage} = \left( 0.9714 \right) \times 100 \approx 97.14\%
\]
Based on the options given, the closest answer is:
**B) 97 percent**.
\[
\text{Yield Percentage} = \left( \frac{\text{Usable Weight}}{\text{Total Weight}} \right) \times 100
\]
1. First, convert the total weight of the celery from pounds to ounces. There are 16 ounces in a pound, so:
\[
12 \, \text{lb} \times 16 \, \text{oz/lb} = 192 \, \text{oz}
\]
2. Next, calculate the usable weight by subtracting the trim weight from the total weight:
\[
\text{Usable Weight} = \text{Total Weight} - \text{Trim Weight}
\]
\[
\text{Usable Weight} = 192 \, \text{oz} - 5.5 \, \text{oz} = 186.5 \, \text{oz}
\]
3. Now, calculate the yield percentage:
\[
\text{Yield Percentage} = \left( \frac{186.5 \, \text{oz}}{192 \, \text{oz}} \right) \times 100
\]
\[
\text{Yield Percentage} = \left( 0.9714 \right) \times 100 \approx 97.14\%
\]
Based on the options given, the closest answer is:
**B) 97 percent**.
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