2018 AMC 10A 第 6 题

Question

Sangho 把一个视频上传到某网站，观看者可以投喜欢票或不喜欢票。每个视频的初始分数为

0

，每收到一张喜欢票，分数增加

1

；每收到一张不喜欢票，分数减少

1

。

某一时刻，Sangho 看到视频的分数为

90

，而且所有投票中有

65\%

是喜欢票。当时这个视频一共收到了多少票？

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

设总票数为

N

。

Let

N

be the total number of votes

分数等于喜欢票数减去不喜欢票数。

The score is likes minus dislikes

喜欢票占

65\%

，所以不喜欢票占

35\%

。因此视频分数等于总票数的

65\% - 35\% = 30\%

。

已知分数为

90

，所以总票数为

90 \div 30\% = 300

。

因此正确答案是 B。

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.

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