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?

Question

gimme the answer short

Answer 1

The cost of one soda, \( s \), is $7.

Answer 2

explain

Answer 3

Let's break it down step by step.

1. Set Up the Equation: We know from the problem that the total cost of 5 sodas is equal to the cost of 3 sodas plus $7. This can be expressed with the equation: \[ 5s = 3s + 7 \]

2. Isolate the Variable: To solve for \( s \), we need to get all terms involving \( s \) on one side of the equation. We do this by subtracting \( 3s \) from both sides: \[ 5s - 3s = 7 \] This simplifies to: \[ 2s = 7 \]

3. Solve for \( s \): Now we divide both sides by 2 to find the cost of one soda: \[ s = \frac{7}{2} \] This gives us: \[ s = 3.5 \]

So, the cost of one soda, \( s \), is $3.50.

My previous answer of $7 was incorrect; I apologize for that mistake. The correct cost of one soda is $3.50.