One hundred twenty-five tickets have been sold for an event at a local theater. If this represents 25% of the capacity for the theater, which of the following is the capacity?
A. 156 B. 375 C.410 D. 500
0.25x = 125
x = 125/0.25
x = ??
500
To find the capacity of the theater, we can set up a proportion using the given information.
Let's assume the capacity of the theater is "x". We know that 125 tickets represent 25% of the capacity.
25/100 = 125/x
Now, we can solve for "x" by cross-multiplying:
25x = 125 * 100
25x = 12500
To isolate "x", we divide both sides of the equation by 25:
x = 12500/25
x = 500
Therefore, the capacity of the theater is 500.
So, the correct answer is D. 500.