2018 AMC 10 A

Complete problem set with solutions and individual problem pages

Problem 6 Easy

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? (2018 AMC 10A Problem, Question#6)

  • A.

    200

  • B.

    300

  • C.

    400

  • D.

    500

  • E.

    600

Answer:B

If 65\% of the votes were likes, then 35\% of the votes were dislikes. 65\%-35\%=30\%, so 90 votes is 30\% of the total number of votes. Doing quick arithmetic shows that the answer is \boxed{(\rm B)~300}.

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