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When 120 guests take seat in an auditorium, only 3/4 of the seats occupied. What is the total number of seats in the auditorium ?
Let,
Total seat = x
As per question,
x(3/4) = 120
x = (4*120)/3
x = 160
Total seat = 160
To find the total number of seats in the auditorium, we can use the information given that 120 guests occupy \( \frac{3}{4} \) of the seats.
Let \( S \) be the total number of seats in the auditorium. According to the problem:
\[ \frac{3}{4} \times S = 120 \]
To find \( S \), we solve for \( S \) by isolating it on one side of the equation:
\[ S = \frac{120 \times 4}{3} \]
Perform the multiplication and division:
\[ S = \frac{480}{3} \]
\[ S = 160 \]
So, the total number of seats in the auditorium is 160.
