The people present at a school function occupy 5/7 of the seats in an auditorium. There are 540 people present. How many seats are there in the auditorium?
number of people --- x
(5/7)x = 540
x = 540(7/5) = ...
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To find the total number of seats in the auditorium, we can use the given information that the people present occupy 5/7 of the seats.
Let's denote the total number of seats in the auditorium as "x."
According to the question, the people occupy 5/7 of the seats, which means there are 5/7 of x seats occupied by the people.
We can express this as an equation:
(5/7) * x = 540
To solve for x, we need to isolate it on one side of the equation. We can do this by multiplying both sides of the equation by the reciprocal of 5/7, which is 7/5.
(7/5) * (5/7) * x = (7/5) * 540
On simplifying, we get:
x = (7/5) * 540
x = 756
Therefore, there are 756 seats in the auditorium.