Question

4/25-did not appear to vote,4/7-voters voted for the winner,4956-votes obtained,how many voters took part​?

Answer 1

Let x be the total number of people who could have voted. We know that 4/25 didn't vote, so the actual number of people who voted is the remaining 21/25 of x.

Out of these people, 4/7 voted for the winner:

`(21)/(25)x\cdot(4)/(7)=(12)/(25)x`

We know that this fraction resulted in 4956 votes, solving for x we have

`x=(4956\cdot 25)/(12)=10325`

So, 10325 people could have voted. But we know that 4/25 didn't vote, while the remaining 21/25 did. So, the number of voters who took part to the election is

`10325\cdot 21/25=8673`

Just for checking, we have indeed

`8673\cdot (4)/(7)=4956`

which confirms the result.