Question

A family went to a baseball game. They parked the car in a parking lot which charged ​$20. The cost per ticket was ​$27. Write an equation for the total cost of going to the baseball​ game, where y is the total cost and x is the total number of people. If the family spent ​$236​, how many people went to the​ game?

Answer 1

`y=27x+20`

8 people went to the game.

Explanation:

Let x represent number of tickets.

We have been given that the family parked the car in a parking lot which charged ​$20. The cost per ticket was ​$27.

The cost of x tickets would be
`27x`.

The total cost of going to baseball game would be equal to cost x tickets plus parking cost that is
`27x+20`.

Therefore, the equation
`y=27x+20` represents the total cost (y) of going to the baseball​ game.

To find the number of people who went to game, we will equate total cost with 236 as:

`236=27x+20`

`236-20=27x+20-20`

`216=27x`

`(216)/(27)=(27x)/(27)`

`8=x`

Therefore, 8 people went to the game.