A hall can seat a certain number of people.ifthere are216 people in the hall,it is occupied with3/7 of its total capacity.find the total seating capacity
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A hall can seat a certain number of people. if there are 216 people in the hall .it is occupied to 3/7th of its total capacity. Find the total seating capacity.
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The total seating capacity is 504.
Given: There are 216 people in the hall and it is occupied with 3/7 of its total capacity.
To Find: The total seating capacity.
Solution:
Let the total seating capacity be 'x'.
Fraction of the seating capacity occupied = 3 / 7
So, the number of people present = 3x / 7
The number of people in the hall = 216
From the above information, we can form an equation;
3x / 7 = 216
⇒ 3x = 216 × 7
⇒ x = ( 216 × 7 ) / 3
= 504
Hence, the total seating capacity is 504.
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