Question

in a cricket match 3/9 seats were reserved and the remaining 3500 were sold at the counter. how many seats were there in all​

Answer 1

This is the answer for the given question. ..

Answer 2

Let the Total Number of seats in the Stadium be : S

$\mathsf{Given : \dfrac{3}{9}\;seats\;of\;the\;total\;seats\;were\;reserved}$

$\implies \mathsf{Number\;of\;seats\;reserved = \dfrac{3}{9} \times S = \dfrac{3S}{9}}$

Given : Remaining 3500 seats were sold at the counter

It means : The Sum of Seats which are reserved and The Seats which are sold at the counter should be equal to Total number of Seats in the Stadium.

$\mathsf{\implies \dfrac{3S}{9} + 3500 = S}$

$\mathsf{\implies S - \dfrac{3S}{9}= 3500}$

$\mathsf{\implies \dfrac{9S - 3S}{9}= 3500}$

$\mathsf{\implies \dfrac{6S}{9}= 3500}$

$\mathsf{\implies \dfrac{2S}{3}= 3500}$

$\mathsf{\implies S = \dfrac{3500 \times 3}{2}}$

$\mathsf{\implies S = {1750 \times 3}}$

$\mathsf{\implies S = {5250}}$

Answer : Total Number of seats in the Stadium = 5250