Jayvie has a VIP membership to a movie theater, so she pays $27 a year and $6.00 for each movie she sees. Claire doesn't have a membership, so she pays $8.25 each movie she sees. Which equation shows when they will pay the same amount of money?

27 + 6x = 8.25x

Number of movies (x) = 12

Step-by-step explanation:

Given that:

VIP membership :

Membership fee = $27 per year

Amount per movie = $6

Hence ;

Membership fee + (amount per movie * number of movies)

27 + 6x - - - (1)

Non member :

Amount paid per movie = $8.25

amount per movie * number of movies)

8.25x - - (2)

Let Numbe of movies = x

In other to pay the same amount of money :

Equate (1) and (2)

Equation :

27 + 6x = 8.25x

8.25x - 6x = 27

2.25x = 27

X = 12 movies