Lizzy: June is running for class president. She needs just over 50% of the vote to win. There are 200 students in the school. 60% of students are boys and the rest are girls. If she receives 67.5% of male vote, what is the smallest percentage of the female she must receive to win the election?.
Me: Hmmm, let me think. I think this is the detailed solution:
User
50% of the vote is 100 votes because 200 x .5 = 100. Just over 50% is 101 votes because 100 + 1 = 101. 120 students are boys because 200 x .6 = 120. 80 students are girls because 200 - 120 = 80. She gets 81 votes from boys because 120 x .675 = 81. She needs 20 votes from girls because 101 - 81 = 20. She needs a proportion of .25 of girl's votes to win because 20 / 80 = .25. The percentage she needs is 25 because 100 x .25 = 25. Final answer: 25.
Assistant