10. Mark took his family to the movies and spent a total of $78 on tickets. He also bought a soda for each member of his family. Each soda cost $4.25. If Mark spent a total of $103.50 on tickets and sodas, then how many sodas did he buy?

Responses
6

5

4

3

1 answer

To find out how many sodas Mark bought, we can set up the following equation based on the information given:

  1. Mark spent $78 on movie tickets.
  2. The total amount spent on tickets and sodas is $103.50.
  3. Each soda costs $4.25.

Let \( S \) be the number of sodas that Mark bought. We can express the total cost of the sodas as \( 4.25 \times S \).

The total cost equation can be written as: \[ 78 + 4.25S = 103.50 \]

Now, we will solve for \( S \):

  1. Subtract the cost of the tickets from the total: \[ 4.25S = 103.50 - 78 \] \[ 4.25S = 25.50 \]

  2. Now, divide by the cost of each soda: \[ S = \frac{25.50}{4.25} \] \[ S = 6 \]

Therefore, Mark bought 6 sodas.

So the answer is: 6.