A theater is 3/4 full. When 96 people leave, the theater is only 35% full. How many seat are there

math_celebrity

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A theater is 3/4 full. When 96 people leave, the theater is only 35% full. How many seats are there?

Let the full capacity of seats in the theater be s. We're given:
3/4s - 96 = 0.35s (Since 35% is 0.35)

We also know that 3/4 = 0.75, so let's use this to have decimals:
0.75s - 96 = 0.35s

To solve for s, we type this equation into our search engine and we get:
s = 240
 
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