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
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.
To find the number of movies each person rented, we can solve the equation:
1.50x + 2 = 2x
Let's break it down step by step:
1. Subtract 1.50x from both sides to isolate the x term on one side of the equation:
2 - 1.50x = 2x - 1.50x
Simplifying:
2 - 1.50x = 0.50x
2. Now, subtract 0.50x from both sides to further isolate the x term:
2 - 0.50x = 0.50x - 0.50x
Simplifying:
2 - 0.50x = 0
3. Finally, subtract 2 from both sides to solve for x:
2 - 0.50x - 2 = 0 - 2
Simplifying:
-0.50x = -2
4. Divide both sides of the equation by -0.50 to solve for x:
(-0.50x)/-0.50 = -2/-0.50
Simplifying:
x = 4
Therefore, each person rented 4 movies last month.
To find the number of movies each person rented, we can solve the equation:
1.50x + 2 = 2x
Let's solve for x step-by-step:
1. Subtract 1.50x from both sides of the equation:
1.50x + 2 - 1.50x = 2x - 1.50x
2 cancels out with -1.50x, simplifying the equation to:
2 = 0.50x
2. Divide both sides of the equation by 0.50 to isolate x:
2 / 0.50 = (0.50x) / 0.50
4 = x
Therefore, Billy and Suzie each rented 4 movies last month.