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.

1 answer

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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