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imc

prealgebra intermediate

Problem

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 , and the score increases by for each like vote and decreases by for each dislike vote. At one point Sangho saw that his video had a score of , and that of the votes cast on his video were like votes. How many votes had been cast on Sangho's video at that point?
(A)
(B)
(C)
(D)
Solution
If of the votes were likes, then of the votes were dislikes. , so votes is of the total number of votes. Doing quick arithmetic shows that the answer is .
Final answer
B