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:

$$\boxed{{\displaystyle 3.5}}$$