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

Discussion in 'Calculator Requests' started by math_celebrity, Jun 26, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    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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