Number of voters 72 20 25 18 7 1st choice A B C A D 2nd choice D A D B A 3rd choice B C B D C 4th choice C D A C B Fast Food Chain A B C D 1st Choice Blank 1 Blank 2 Blank 3 Blank 4 2nd Choice Blank 5 Blank 6 Blank 7 Blank 8 3rd Choice Blank 9 Blank 10 Blank 11 Blank 12 4th Choice Blank 13 Blank 14 Blank 15 Blank 16 Total Blank 17 Blank 18 Blank 19 Blank 20 who wins using this method Blank 21

One hundred customers were asked to rank their choices of most popular fast food chains in the country . The results are shown below. (Plurality with elimination) Number of voters 72 20 25 18 7 1st choice A B C A D 2nd choice D A D B A 3rd choice B C B D C 4th choice C D A C B \ Number of Votes 72 28 25 8 7 71st Choice Blank 1 Blank 2 Blank 3 Blank 4 Blank 5 2nd Choice Blank 6 Blank 7 Blank 8 Blank 9 Blank 10 3rd Choice Blank 11 Blank 12 Blank 13 Blank 14 Blank 15 Number of Votes 72 28 25 8 7 1st Choice Blank 16 Blank 17 Blank 18 Blank 19 Blank 20 2nd Choice Blank 21 Blank 22 Blank 23 Blank 24 Blank 25

Four candidates, Harrison (H), Lennon (L), McCartney (M), and Starr (S), are running for regional manager. After the polls close, ranked ballots are tallied, and the results are summarized in the table.Number of Ballots Cast27 97 47 83 32 16 241st choice H L L M M S S2nd choice L M S L L H M3rd choice S H M H S L H4th choice M S H S H M L(a) How many votes were cast? votes(b) Use the plurality method of voting to determine the winner.HarrisonLennon    McCartneyStarr(c) What percent of the votes did the winner in part (b) receive? (Round your answer to the nearest whole number.) %(d) Use the instant runoff method to determine the winner.HarrisonLennon    McCartneyStarr(e) What percent of the votes did the winner in part (d) receive? (Round your answer to the nearest whole number.) %(f) Use the Borda count method to determine the winner.HarrisonLennon    McCartneyStarr(g) How many points did the winner in part (f) receive? points(h) Use the pairwise comparison method to determine the winner.HarrisonLennon    McCartneyStarr(i) How many points did the winner in part (h) receive? points

The managers of Prints Alive (a local silk-screening business) are planning a party for their 30 employees. There are three possible locations for the party: the warehouse (W), the park (P), or the beach (B). The employees are asked to rank these choices in order of preference, and the results are summarized in the table.Number of Ballots Cast6 7 12 51st choice P P B W2nd choice B W W B3rd choice W B P P(a) How many votes were cast? votes(b) Use the plurality method of voting to determine the winner.the beachthe park    the warehouse(c) What percent of the votes did the winner in part (b) receive? (Round your answer to the nearest whole number.) %

In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was :Group of answer choices

The student government is holding elections for president. There are 4 candidates (labeled A, B, C, and D for convenience). The preference for the election is as follows:Candidates Ranking Ranking Ranking Ranking Ranking RankingA 4 3 2 1 1 3B 3 1 3 3 4 2C 1 2 4 2 3 4D 2 4 1 4 2 1# of votes 120 50 40 90 60 100Questions:How many voters voted in this election?How many voters are needed for a majority? For a plurality?