Kayla purchased 5 large sodas at the movie theater. Before tax was added, the total cost of the 5 sodas was equal to the cost of 3 sodas plus $7. What was the cost of one soda, s?

Answer 1

Let the cost of one soda be denoted as \( s \).

According to the problem, the total cost of 5 sodas can be expressed as:

\[ 5s \]

The problem also states that this total cost is equal to the cost of 3 sodas plus $7. We can express this as:

\[ 5s = 3s + 7 \]

Now, we will solve for \( s \) by first isolating \( s \) on one side of the equation. To do this, we can subtract \( 3s \) from both sides:

\[ 5s - 3s = 7 \]

This simplifies to:

\[ 2s = 7 \]

Next, we divide both sides by 2 to solve for \( s \):

\[ s = \frac{7}{2} \]

Calculating this gives:

\[ s = 3.5 \]

Therefore, the cost of one soda is:

\[ \boxed{3.5} \]

Answer 2

With just the equations and answers

Answer 3

1. \( 5s = 3s + 7 \)
2. \( 2s = 7 \)
3. \( s = \frac{7}{2} \)
4. \( s = 3.5 \)

Final answer: \( \boxed{3.5} \)