Question

six gallery seats and three balcony sets for a play were sold for rs162. four gallery seats and five balcony seats were sold for rs 180. find the price of a gallery seat and the price of a balcony seat​

Answer 1

Answer:

Let price of the gallery seat = Rs 15

Let price of the balcony seat = Rs 24

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Step-by-step explanation:

Let price of the gallery seat = x

Let price of the balcony seat = y

as per the question

6x + 3y = 162 ==> 2x + y = 54 ==> y= 54 - 2x ------(1)

4x + 5y = 180

Substitute the value of y from (1)

4x + 5 (54-2x) = 180

4x + 270 -10x = 180

6x = 270-180

6x = 90

x = 90/6

x = 15 Rs

from (1)

y = 54 - 2(15) ==> 54 - 30 ==> 24

Answer 2

1 gallery seat = 51 rupees

1 balcony seat = 18 rupees