Fran is in charge of counting votes for the book club's next book, but she always cheats so her favorite gets picked. Originally, there were 10 votes for Game of Thrones, 12 votes for Twilight, and 20 votes for The Art of the Deal. Fran throws away 80% of the votes for The Art of the Deal and half the votes for Twilight. What percentage of the altered votes were for Game of Thrones? Let's think step by step and output the final answer after "####".
user
First find the total number of The Art of the Deal votes Fran throws away: 80% * 20 votes = <<80*.01*20=16>>16 votes
Then subtract these votes from the total number of The Art of the Deal votes to find the altered number: 20 votes - 16 votes = <<20-16=4>>4 votes
Then divide the total number Twilight votes by 2 to find the altered number of votes: 12 votes / 2 = <<12/2=6>>6 votes
Then add the altered number of votes for each book to find the total altered number of votes: 6 votes + 4 votes + 10 votes = <<6+4+10=20>>20 votes
Then divide the number of votes for Game of Thrones by the total altered number of votes and multiply by 100% to express the answer as a percentage: 10 votes / 20 votes * 100% = 50%
#### 50
Fran is in charge of counting votes for the book club's next book, but she always cheats so her favorite gets picked. Originally, there were 10 votes for Game of Thrones, 12 votes for Twilight, and 20 votes for The Art of the Deal. Fran throws away 80% of the votes for The Art of the Deal and half the votes for Twilight. What percentage of the altered votes were for Game of Thrones?
train