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How many people voted for class president?

Kim was elected class president. She received 3 votes for every 2 that Amy got.No one else ran. However, if 8 of the people who voted for Kim had voted for Amy instead, Kim would have received only one vote for every 2 that Amy would have gotten. How many people voted?

Let N be the number of people voted. 

The initial ratio of votes that Kim and Amy got is 3:2

=> The number of votes Kim got = \frac{3}{5}\cdot

If 8 people voted more for Amy, then ratio is
1:2

=> The number of votes Kim got = 

 


Solving
N=30

Total 30 people voted.

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