Question

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?

$200$

$300$

$400$

$500$

$600$

Solution:

If $65\%$ of votes were like votes, then $35\%$ of votes are dislike votes. Then Sangho's score is $65\% - 35\% = 30\%$ the total number of votes.

We know that Sangho's score is $90,$ so the total number of votes is $90 \div 30\% = 300.$

Thus, B is the correct answer.

2018 AMC 10A Problem 6

Solution:

Problem 6 in Other Years