Billy’s movie club charges a membership fee of $2 plus $1.50 per rental, while Suzie’s movie club has no membership fee but charges $2 per rental. Billy and Suzie find that they each rented the same number of movies last month. Find x, the number of movies each person rented.

Answer 1

Let x be the number of movies rented by each person.
Billy's total cost for renting x movies is $2 + $1.50x.
Suzie's total cost for renting x movies is $2x.
Since Billy and Suzie rented the same number of movies, their total costs should be the same.
Therefore, we have the equation: $2 + $1.50x = $2x.
Simplifying the equation, we get: $2 + $1.50x - $2x = 0.
Combining like terms, we get: $0.50x = $2.
Finally, dividing both sides of the equation by $0.50, we get the solution: x = $2 / $0.50 = 4.
Therefore, each person rented 4 movies last month. Answer: \boxed{4}.