A Voting Poll:

Candidate A: 30%
Candidate B: 50%
Undecided: 20%

The Table above summarizes the results of an election poll in which 4000 voters participated. In the actual election, all 4000 of these people voted and those people who chose a candidate in the poll voted for that candidate. People who were undecided voted for Candidate A in the SAME PROPORTION AS THE PEOPLE WHO CAST VOTES FOR THE CANDIDATES IN THE POLL. Of the people polled, how many voted for candidate A in the actual election?

What does "...SAME PROPORTION AS THE PEOPLE WHO CAST VOTES..." mean? I don't understand the english here.

Thanks

Wrong approach dude

The phrase "same proportion as the people who cast votes" means that the percentage of undecided voters who ended up voting for Candidate A in the actual election should be the same as the percentage of people who voted for Candidate A in the poll.

In the given poll, Candidate A received 30% of the votes, Candidate B received 50%, and the remaining 20% were undecided.

To find out how many of the undecided voters voted for Candidate A, we need to determine the proportion of votes that went to Candidate A in the poll. This can be done by dividing the percentage of votes for Candidate A by the total percentage of votes for all candidates in the poll:

Proportion of votes for Candidate A = Percentage of votes for Candidate A / (Percentage of votes for Candidate A + Percentage of votes for Candidate B)

Proportion of votes for Candidate A = 30% / (30% + 50%) = 0.375

So, we can conclude that 0.375 (or 37.5%) of the people who were undecided in the poll voted for Candidate A in the actual election.

Now, since there were 4000 voters in the poll, we know that 20% (or 0.20) of them were undecided. To calculate the number of people who voted for Candidate A in the actual election, we multiply the total number of voters by the proportion of undecided voters who voted for Candidate A:

Number of votes for Candidate A from undecided voters = Total number of voters * Proportion of votes for Candidate A from undecided voters

Number of votes for Candidate A from undecided voters = 4000 * 0.20 * 0.375 = 300

Therefore, in the actual election, 300 voters who were initially undecided in the poll voted for Candidate A.

4000(30% of 20% + 30%) = ?