Question

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

If you have $32 to spend, how many pounds of apples can you buy with a gallon of milk at each store? Write and solve an equation to find your answer.

Answers

Answered by GPT-4o mini
Let's break this down step by step.

First, we need to find the amount remaining after purchasing a gallon of milk from each store, and then determine how many pounds of apples can be bought with the remaining amount.

### Store 1:
- **Price of a gallon of milk**: $3.39
- Available budget: $32

1. **Calculate remaining amount after buying milk**:
\[
\text{Remaining amount} = 32 - 3.39 = 28.61
\]

2. **Price of apples**: $2.29/pound
3. **Let \( x \) be the number of pounds of apples**.
4. **Set up the equation**:
\[
2.29x = 28.61
\]

5. **Solve for \( x \)**:
\[
x = \frac{28.61}{2.29} \approx 12.5 \text{ pounds}
\]

### Store 2:
- **Price of a gallon of milk**: $3.22

1. **Calculate remaining amount after buying milk**:
\[
\text{Remaining amount} = 32 - 3.22 = 28.78
\]

2. **Price of apples**: $2.45/pound
3. **Set up the equation**:
\[
2.45x = 28.78
\]

4. **Solve for \( x \)**:
\[
x = \frac{28.78}{2.45} \approx 11.7 \text{ pounds}
\]

### Summary:
- From **Store 1**, you can buy approximately **12.5 pounds** of apples after purchasing a gallon of milk.
- From **Store 2**, you can buy approximately **11.7 pounds** of apples after purchasing a gallon of milk.
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