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.%0D%0A%0D%0A%0D%0A%0D%0A1.50x + 2 = 2x

1 answer

To solve the equation, we can first rearrange it:

1.50x + 2 = 2x

Next, we can subtract 1.50x from both sides of the equation:

2 - 1.50x = 2x - 1.50x

This simplifies to:

2 - 1.50x = 0.50x

Now, we can add 1.50x to both sides of the equation:

2 - 1.50x + 1.50x = 0.50x + 1.50x

This simplifies to:

2 = 2x

Finally, we can divide both sides of the equation by 2:

2/2 = 2x/2

This simplifies to:

1 = x

Therefore, x = 1.

Billy and Suzie each rented 1 movie last month.