How many votes does each candidate receive? Candidate A received 4,104 votes, candidate B received 4,320 votes, and candidate C received 3,356 votes. I observed that the problem says out of the eligible voters, not out of the voters who voted. I analyzed and then solved the problem by backtracking (working backwards). I started the process by figuring out the number of eligible voters.
The first clue says half the voters vote for candidate A, so I multiplied the number of voters by ½. Then it says that the second vote is divided between B and C in the ratio of 6:3, or 2:1. Then I divided the 2nd half of the voters by 3, because 3 is the whole part of the ratio. The ratio said 2 to 1, so I multiplied 1,080 by 1 to get the votes for candidate C, lastly I multiplied 1,080 by 2 to get the votes for candidate B. eligible voters voted for candidate A.eligible voters voted for candidate C.eligible voters voted for candidate B.…show more content… The second clue says half of the other eligible voters voted for candidate B. Half of half, is also 1/4 , so I multiplied the number of voters by ¼, to get the number of votes for candidate B. The second clue also states that the other half divide their vote between A and C in the ratio of 1:4. I took the number of voters who voted for B, and divided it by 5. The ratio 1:4 (A:C) can also be written as 1:5 (A:Total) or 4:5 (C:Total). I took the quotient, and multiplied it by 1 to get the amount of voters for A. For C I took the quotient and multiplied it by 4 (the second part, of the part to part the ratio).eligible voters voted for B. eligible voters voted for candidate A.eligible voters voted for candidate
