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.

Question

1.50x + 2 = 2x

Answer 1

To solve this equation, we can start by subtracting 1.50x from both sides:

2 - 1.50x = x

Next, subtract x from both sides:

2 - x = 1.50x

Now, we can add x to both sides:

2 = 1.50x + x

Combine like terms:

2 = 2.50x

Finally, divide both sides by 2.50 to solve for x:

x = 2 / 2.50

x = 0.8

So, each person rented 0.8 (or 4/5) movies.