Question
Kroger VS Publix
Head of lettuce
$1.79 $1.88
Gallon of milk
$3.39 $3.22
A dozen eggs
$2.29 $2.24
A pound of apples
$2.29/pound $2.45/pound
Frozen pizza
$8.49 $9.24
1. Write an expression to find the cost of 2 pounds of apples and 1 head of lettuce from grocery store #1.
Answers
GPT-4o mini
To find the cost of 2 pounds of apples and 1 head of lettuce from grocery store #1 (Kroger), we can create the following expression:
Let:
- Cost of 1 head of lettuce = $1.79
- Cost of 1 pound of apples = $2.29
Now, the cost for 2 pounds of apples would be:
Cost of 2 pounds of apples = 2 * $2.29 = $4.58
Now, we add the cost of the head of lettuce:
Total cost = Cost of 2 pounds of apples + Cost of 1 head of lettuce
Total cost = $4.58 + $1.79
So the expression to find the total cost is:
Total cost = 2 * $2.29 + $1.79
Let:
- Cost of 1 head of lettuce = $1.79
- Cost of 1 pound of apples = $2.29
Now, the cost for 2 pounds of apples would be:
Cost of 2 pounds of apples = 2 * $2.29 = $4.58
Now, we add the cost of the head of lettuce:
Total cost = Cost of 2 pounds of apples + Cost of 1 head of lettuce
Total cost = $4.58 + $1.79
So the expression to find the total cost is:
Total cost = 2 * $2.29 + $1.79
2. Write an expression to find the cost of 2 pounds of apples and 1 head of lettuce from grocery store #2.
GPT-4o mini
To find the cost of 2 pounds of apples and 1 head of lettuce from grocery store #2 (Publix), we can create the following expression:
Let:
- Cost of 1 head of lettuce = $1.88
- Cost of 1 pound of apples = $2.45
Now, the cost for 2 pounds of apples would be:
Cost of 2 pounds of apples = 2 * $2.45 = $4.90
Now, we add the cost of the head of lettuce:
Total cost = Cost of 2 pounds of apples + Cost of 1 head of lettuce
Total cost = $4.90 + $1.88
So the expression to find the total cost is:
Total cost = 2 * $2.45 + $1.88
Let:
- Cost of 1 head of lettuce = $1.88
- Cost of 1 pound of apples = $2.45
Now, the cost for 2 pounds of apples would be:
Cost of 2 pounds of apples = 2 * $2.45 = $4.90
Now, we add the cost of the head of lettuce:
Total cost = Cost of 2 pounds of apples + Cost of 1 head of lettuce
Total cost = $4.90 + $1.88
So the expression to find the total cost is:
Total cost = 2 * $2.45 + $1.88
3. If you have $20 to spend, can you buy 3 dozen eggs and a frozen pizza from either store? Which one(s)?
GPT-4o mini
Let's calculate the total cost of purchasing 3 dozen eggs and a frozen pizza from both stores to determine if it's possible with $20.
**From Grocery Store #1 (Kroger):**
- Cost of a dozen eggs = $2.29
- Cost of 3 dozen eggs = 3 * $2.29 = $6.87
- Cost of frozen pizza = $8.49
**Total cost at Kroger:**
\[
\text{Total cost} = 6.87 + 8.49 = \$15.36
\]
**From Grocery Store #2 (Publix):**
- Cost of a dozen eggs = $2.24
- Cost of 3 dozen eggs = 3 * $2.24 = $6.72
- Cost of frozen pizza = $9.24
**Total cost at Publix:**
\[
\text{Total cost} = 6.72 + 9.24 = \$15.96
\]
Now, compare the total costs with the $20 budget:
- Total cost at Kroger = $15.36
- Total cost at Publix = $15.96
Since both totals are less than $20, you can buy 3 dozen eggs and a frozen pizza from **both stores** (Kroger and Publix).
**From Grocery Store #1 (Kroger):**
- Cost of a dozen eggs = $2.29
- Cost of 3 dozen eggs = 3 * $2.29 = $6.87
- Cost of frozen pizza = $8.49
**Total cost at Kroger:**
\[
\text{Total cost} = 6.87 + 8.49 = \$15.36
\]
**From Grocery Store #2 (Publix):**
- Cost of a dozen eggs = $2.24
- Cost of 3 dozen eggs = 3 * $2.24 = $6.72
- Cost of frozen pizza = $9.24
**Total cost at Publix:**
\[
\text{Total cost} = 6.72 + 9.24 = \$15.96
\]
Now, compare the total costs with the $20 budget:
- Total cost at Kroger = $15.36
- Total cost at Publix = $15.96
Since both totals are less than $20, you can buy 3 dozen eggs and a frozen pizza from **both stores** (Kroger and Publix).
simplify this
GPT-4o mini
To determine if you can buy 3 dozen eggs and a frozen pizza from either store with $20, let's simplify the calculations.
### From Grocery Store #1 (Kroger):
- **Cost of 3 dozen eggs:** \( 3 \times 2.29 = 6.87 \)
- **Cost of frozen pizza:** \( 8.49 \)
**Total cost at Kroger:**
\[
6.87 + 8.49 = 15.36
\]
### From Grocery Store #2 (Publix):
- **Cost of 3 dozen eggs:** \( 3 \times 2.24 = 6.72 \)
- **Cost of frozen pizza:** \( 9.24 \)
**Total cost at Publix:**
\[
6.72 + 9.24 = 15.96
\]
### Budget Comparison:
- **Total cost at Kroger:** \$15.36
- **Total cost at Publix:** \$15.96
- **Budget:** \$20
### Conclusion:
You can buy 3 dozen eggs and a frozen pizza from **both Kroger and Publix** since both totals are under the $20 budget.
### From Grocery Store #1 (Kroger):
- **Cost of 3 dozen eggs:** \( 3 \times 2.29 = 6.87 \)
- **Cost of frozen pizza:** \( 8.49 \)
**Total cost at Kroger:**
\[
6.87 + 8.49 = 15.36
\]
### From Grocery Store #2 (Publix):
- **Cost of 3 dozen eggs:** \( 3 \times 2.24 = 6.72 \)
- **Cost of frozen pizza:** \( 9.24 \)
**Total cost at Publix:**
\[
6.72 + 9.24 = 15.96
\]
### Budget Comparison:
- **Total cost at Kroger:** \$15.36
- **Total cost at Publix:** \$15.96
- **Budget:** \$20
### Conclusion:
You can buy 3 dozen eggs and a frozen pizza from **both Kroger and Publix** since both totals are under the $20 budget.