Question
For every acre of lettuce harvested from Sabor Farms,
1
9
of it is unsellable due to spoilage or other damage. This week, Sabor Farms harvested
18
acres of lettuce.
Part A: How can you represent the amount of sellable lettuce as a mathematical expression? Hint: Think about how to calculate the amount of spoiled lettuce, then consider the total harvest.
Part B: Simplify your expression from Part A. What is the result?
Select two answers: one for Part A and one for Part B.
Responses
A:
18
⋅
1
9
A:
18
⋅
1
9
B:
16
acres' worth of lettuce will be sellable this week.
B: 16 acres' worth of lettuce will be sellable this week.
B:
17
8
9
acres' worth of lettuce will be sellable this week.
B: 17 and 8 ninths acres' worth of lettuce will be sellable this week.
B:
20
acres' worth of lettuce will be sellable this week.
B: 20 acres' worth of lettuce will be sellable this week.
A:
18
−
(
18
⋅
1
9
)
A:
18
−
(
18
⋅
1
9
)
A:
18
−
1
9
A: 18 minus 1 ninth
A:
18
+
(
18
⋅
1
9
)
A:
18
+
(
18
⋅
1
9
)
B:
2
acres' worth of lettuce will be sellable this week.
B: 2 acres' worth of lettuce will be sellable this week.
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1
9
of it is unsellable due to spoilage or other damage. This week, Sabor Farms harvested
18
acres of lettuce.
Part A: How can you represent the amount of sellable lettuce as a mathematical expression? Hint: Think about how to calculate the amount of spoiled lettuce, then consider the total harvest.
Part B: Simplify your expression from Part A. What is the result?
Select two answers: one for Part A and one for Part B.
Responses
A:
18
⋅
1
9
A:
18
⋅
1
9
B:
16
acres' worth of lettuce will be sellable this week.
B: 16 acres' worth of lettuce will be sellable this week.
B:
17
8
9
acres' worth of lettuce will be sellable this week.
B: 17 and 8 ninths acres' worth of lettuce will be sellable this week.
B:
20
acres' worth of lettuce will be sellable this week.
B: 20 acres' worth of lettuce will be sellable this week.
A:
18
−
(
18
⋅
1
9
)
A:
18
−
(
18
⋅
1
9
)
A:
18
−
1
9
A: 18 minus 1 ninth
A:
18
+
(
18
⋅
1
9
)
A:
18
+
(
18
⋅
1
9
)
B:
2
acres' worth of lettuce will be sellable this week.
B: 2 acres' worth of lettuce will be sellable this week.
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Answers
GPT-4o mini
To solve the problem about Sabor Farms' lettuce harvest, let's break it down as requested:
### Part A:
To find the amount of sellable lettuce, we must first determine the amount that is unsellable due to spoilage. Since \( \frac{1}{9} \) of the harvested lettuce is unsellable, the mathematical expression for the amount of unsellable lettuce would be:
\[
\text{Unsellable lettuce} = 18 \cdot \frac{1}{9}
\]
Then, to find the amount of sellable lettuce, we subtract the amount of unsellable lettuce from the total amount harvested:
\[
\text{Sellable lettuce} = 18 - (18 \cdot \frac{1}{9})
\]
The correct response for Part A is:
**A: \( 18 - (18 \cdot \frac{1}{9}) \)**
### Part B:
Now we will simplify the expression from Part A.
Calculating the unsellable portion:
\[
18 \cdot \frac{1}{9} = 2
\]
Now, subtract this from the total harvested:
\[
\text{Sellable lettuce} = 18 - 2 = 16
\]
Thus, the amount of sellable lettuce is:
**B: 16 acres' worth of lettuce will be sellable this week.**
So the final answers are:
- **Part A:** \( 18 - (18 \cdot \frac{1}{9}) \)
- **Part B:** 16 acres' worth of lettuce will be sellable this week.
### Part A:
To find the amount of sellable lettuce, we must first determine the amount that is unsellable due to spoilage. Since \( \frac{1}{9} \) of the harvested lettuce is unsellable, the mathematical expression for the amount of unsellable lettuce would be:
\[
\text{Unsellable lettuce} = 18 \cdot \frac{1}{9}
\]
Then, to find the amount of sellable lettuce, we subtract the amount of unsellable lettuce from the total amount harvested:
\[
\text{Sellable lettuce} = 18 - (18 \cdot \frac{1}{9})
\]
The correct response for Part A is:
**A: \( 18 - (18 \cdot \frac{1}{9}) \)**
### Part B:
Now we will simplify the expression from Part A.
Calculating the unsellable portion:
\[
18 \cdot \frac{1}{9} = 2
\]
Now, subtract this from the total harvested:
\[
\text{Sellable lettuce} = 18 - 2 = 16
\]
Thus, the amount of sellable lettuce is:
**B: 16 acres' worth of lettuce will be sellable this week.**
So the final answers are:
- **Part A:** \( 18 - (18 \cdot \frac{1}{9}) \)
- **Part B:** 16 acres' worth of lettuce will be sellable this week.