3. 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 = ?
500
Right.
Major/Era222 -- please use the same name for your posts.
To find the capacity of the theater, we need to determine what number corresponds to 100% when 125 tickets represent 25%.
Let's set up a proportion:
25% (125 tickets) = 100% (capacity)
We can solve this proportion by cross-multiplication:
25% * capacity = 100% * 125 tickets
To do this, we need to convert the percentages to decimals:
25% = 25/100 = 0.25
100% = 100/100 = 1
0.25 * capacity = 1 * 125
Now, isolate 'capacity' by dividing both sides of the equation by 0.25:
capacity = (1 * 125) / 0.25
Simplifying the equation on the right-hand side:
capacity = 125 / 0.25
Using division:
capacity = 500
Therefore, the capacity of the theater is 500.
So, the answer is D. 500.