Answer:
The correct equation is: 6x+12 = 30.75
And 3 people went to the movies
Explanation:
We will write the equation to represent this scenario.
Let x be the number of people who went for movies.
Then the price of ticket for x people will be: 6.25x
They spent $12 on refreshments and a total of $30.75 so the equation will be:
![6.25x+12=30.75](https://img.qammunity.org/2021/formulas/mathematics/high-school/vmb7npoa2urmke2kiovdmedyudyt708biv.png)
solving the equation will give us total number of people
So,
![6.25x+12 = 30.75\\6.25x = 30.75-12\\6.25x = 18.75\\(6.25x)/(6.25) =(18.75)/(6.25)\\x = 3](https://img.qammunity.org/2021/formulas/mathematics/high-school/ce4fnwh4mgtpn69nj6tw57x0tb4dwl6ksi.png)
Hence,
The correct equation is: 6x+12 = 30.75
And 3 people went to the movies