Question

there are 120 seats in the balcony of a theatre . if it is 1/5th of the total seats . what is the total no. of seats in the theatre

Answer 1

Let the total number of seats in the theatre be 'x'
By the problem,
(1/5)x=120
⇒x=120×5
⇒x=600
Therefore, the total number of seats in the theatre is 600.

Answer 2

Concept:

First replace the unknown quantity with a variable and then form a mathematical equation using variable and condition given in the problem. On solving which we get the required result or value.

Given:

Given that there are 120 seats in the balcony of a theatre and the number in balcony is 1/5 th of the total seats.

Find:

The number of total seats in the theatre.

Solution:

Let the number of total seats in the theatre be = x

1/5 th of this number would be = (1/5)*x = x/5, this is the number of seats in the balcony

According to the condition this number of seats in balcony is 120, then the required mathematical equation is given by,

x/5 = 120

x = 120*5, on multiplying 5 to both sides

x = 600

Hence the total number of seats in the theatre is 600.

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