the movie theater had 52 more occupied seats than empty seats. there are a total of 320 seats in the theater. How many seats were occupied?
212 seata
hint please
x + x - 52 = 320
2x = 372
x = 186
Let's check that:
186 occupied
186 - 53 = 134 are not occupied
134 + 186 = 320 seats total
S was wrong
sorry! wrong calculation.
To find out how many seats were occupied, we need to identify the relationship between the number of occupied seats and empty seats.
Let's assume the number of empty seats is x. According to the problem, the theater had 52 more occupied seats than empty seats. This means that the number of occupied seats is x + 52.
We also know that the total number of seats in the theater is 320. So the sum of occupied seats and empty seats should be equal to 320:
(x) + (x + 52) = 320
Now, we can solve this equation to find the value of x, which represents the number of empty seats:
2x + 52 = 320
2x = 320 - 52
2x = 268
x = 268/2
x = 134
Therefore, there were 134 empty seats in the theater. To find the number of occupied seats, we can substitute this value back into our earlier equation:
Occupied seats = x + 52
Occupied seats = 134 + 52
Occupied seats = 186
So, there were 186 occupied seats in the theater.