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?

1 answer

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:

5x3x=7

This simplifies to:

2x=7

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

x=72=3.5

Thus, the cost of one soda is:

3.5