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.
1.50x + 2 = 2x
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.
To find the value of x, we can solve the equation:
1.50x + 2 = 2x
First, let's get rid of the decimals by multiplying both sides of the equation by 100:
100 * (1.50x + 2) = 100 * 2x
150x + 200 = 200x
Next, let's isolate the x term by subtracting 150x from both sides of the equation:
150x - 150x + 200 = 200x - 150x
200 = 50x
Finally, divide both sides of the equation by 50 to solve for x:
200/50 = 50x/50
4 = x
So, Billy and Suzie each rented 4 movies last month.
To solve for x in the equation 1.50x + 2 = 2x, we need to isolate x on one side of the equation.
Start by subtracting 1.50x from both sides of the equation:
1.50x + 2 - 1.50x = 2x - 1.50x
This simplifies to:
2 = 0.50x
Next, divide both sides of the equation by 0.50 to solve for x:
2 / 0.50 = 0.50x / 0.50
This simplifies to:
4 = x
Therefore, the number of movies each person rented (x) is 4.