Before an election: 23% said they would vote for a, 9% said they would vote for b, 20% said they would not vote. these all voted as they said. the rest of the voters actually voted for a and b in the ratio 1: 2. who got the most votes?

It would be B because if the total population was 100 people then 23 would vote for A, and 9 would vote for B. Then, 20 people would not vote. The total number of people now is 52, so there are 48 more people left to vote and at a 1:2 ratio it would be 16:32. If you add 16 to the original 23 for A, that would equal 39 total votes for A. If you add the 32 to the original 9 for B, that would equal 41 for B. And then 20 are left over for the non-voters. Therefore, B has the most votes.