Kroger VS Publix

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

How many whole gallons of milk can you buy for $14 at each store?
Remember, you can't buy part of a gallon.
Write and solve an equation to find your answer.

Answer 1

To determine how many whole gallons of milk you can buy for $14 at each store, we need to first note the price of a gallon of milk at each store:

• Kroger: $3.39
• Publix: $3.22

Kroger:

Let \( x \) be the number of gallons of milk. The equation we use is:

\[ 3.39x \leq 14 \]

To solve for \( x \):

1. Divide both sides by 3.39:

\[ x \leq \frac{14}{3.39} \]

2. Calculate \( \frac{14}{3.39} \):

\[ \frac{14}{3.39} \approx 4.13 \]

Since you can't buy a part of a gallon, you can buy a maximum of 4 whole gallons.

Publix:

Now we use the same approach for Publix:

\[ 3.22x \leq 14 \]

To solve for \( x \):

1. Divide both sides by 3.22:

\[ x \leq \frac{14}{3.22} \]

2. Calculate \( \frac{14}{3.22} \):

\[ \frac{14}{3.22} \approx 4.35 \]

Again, since you can't buy a part of a gallon, you can buy a maximum of 4 whole gallons.

Summary:

• at Kroger, you can buy 4 gallons of milk for $14.
• at Publix, you can also buy 4 gallons of milk for $14.