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Bunuel
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Bunuel
Sangho uploaded a video to a website where viewers can vote that they like or dislike a video. Each video begins with a score of 0, and the score increases by 1 for each like vote and decreases by 1 for each dislike vote. At one point Sangho saw that his video had a score of 90, and that 65% of the votes cast on his video were like votes. How many votes had been cast on Sangho's video at that point?

A. 200
B. 300
C. 400
D. 500
E. 600
­
Let total number of votes = n

We have:
65% are "like" votes, therefore number of "like" votes = 0.65n
35% are "dislike" votes, therefore number of "dislike" votes = 0.35n

Multiplying the score with number of votes and adding both gives total score of 90.

\(0.65n*(+1) + 0.35n*(-1)=90\)

\(0.65n-0.35n = 90\)

\(0.3n=90\)

\(n=\frac{90}{0.3}=300\)­
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