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 find the number of movies each person rented, we solve the equation 1.50x + 2 = 2x for x.
First, we subtract 1.50x from both sides of the equation: 2 - 1.50x = 2x
Then, we subtract 2 from both sides of the equation: -1.50x = 2x - 2
Next, we add 1.50x to both sides of the equation: 2 = 2x + 1.50x
Combining like terms, we get: 2 = 3.50x
Finally, we divide both sides of the equation by 3.50 to solve for x: 2/3.50 = x
The value of x is approximately 0.571, so each person rented approximately 0.571 movies.
r u sure?
Apologies for the mistake. Let's solve the equation correctly.
We have the equation: 1.50x + 2 = 2x.
To solve for x, we need to isolate the variable.
Subtracting 1.50x from both sides of the equation, we get: 2 - 1.50x = 2x - 1.50x.
Simplifying the right side of the equation, we have: 2 - 1.50x = 0.50x.
Next, we subtract 0.50x from both sides of the equation: 2 - 1.50x - 0.50x = 0.50x - 0.50x.
Simplifying further, we have: 2 - 2x = 0.
Combining like terms, we get: -2x = -2.
To solve for x, divide both sides of the equation by -2: -2x / -2 = -2 / -2.
Simplifying, we get: x = 1.
Therefore, each person rented 1 movie last month.
that's wrong
Apologies for the incorrect response earlier. Let's solve the equation again:
We have the equation: 1.50x + 2 = 2x.
Subtracting 1.50x from both sides of the equation, we get: 2 - 1.50x = 2x - 1.50x.
Simplifying the right side of the equation, we have: 2 - 1.50x = 0.50x.
Next, we subtract 0.50x from both sides of the equation: 2 - 1.50x - 0.50x = 0.50x - 0.50x.
Simplifying further, we have: 2 - 2x = 0.
Adding 2x to both sides of the equation, we get: 2 - 2x + 2x = 0 + 2x.
Simplifying, we have: 2 = 2x.
Dividing both sides of the equation by 2, we get: 2 / 2 = 2x / 2.
Simplifying, we have: 1 = x.
Therefore, each person rented 1 movie last month.
To find the value of x, the number of movies each person rented, we need to solve the equation 1.50x + 2 = 2x.
First, let's subtract 1.50x from both sides of the equation to isolate the x term:
2 - 1.50x = 2x - 1.50x
Simplifying, we get:
2 - 1.50x = 0.50x
Next, let's subtract 0.50x from both sides:
2 - 1.50x - 0.50x = 0.50x - 0.50x
Simplifying further:
2 - 2x = 0
Now, let's isolate the constant term by subtracting 2 from both sides:
2 - 2 - 2x = 0 - 2
Simplifying:
-2x = -2
To solve for x, we'll divide both sides by -2:
-2x / -2 = -2 / -2
Simplifying further, we get:
x = 1
Therefore, each person rented 1 movie.