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?
Let’s work this out in a step by step way to be sure we have the right answer.
25
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.

.

Therefore, the answer is 25