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 1 soda?

Answer 1

Let the cost of one large soda be \( x \).

According to the problem, the total cost of 5 sodas is given by:

\[ 5x \]

It is also stated that this total cost is equal to the cost of 3 sodas plus 7. Therefore, we can write the equation:

\[ 5x = 3x + 7 \]

To solve for \( x \), first, we will subtract \( 3x \) from both sides:

\[ 5x - 3x = 7 \]

This simplifies to:

\[ 2x = 7 \]

Next, we divide both sides by 2 to find \( x \):

\[ x = \frac{7}{2} = 3.5 \]

Thus, the cost of one soda is:

\[ \boxed{3.5} \]