AMC 8 2017 Problem 2
AMC8 2017 年第 2 题
统计与数据图表★☆☆☆☆
Alicia, Brenda, and Colby were the candidates in a recent election for student president. The pie chart below shows how the votes were distributed among the three candidates. If Brenda received 36 votes, then how many votes were cast all together?
Alicia，Brenda 和 Colby 是最近的一次竞选学生主席的 3 个候选人。下面的饼图显示了这 3 人候选人的投票分布。若 Brenda 得到了 36 票，那么总共投了多少票？
- A.70
- B.84
- C.100
- D.106
- E.120
正确答案 · Correct Answer
E
解析 · Solution
Solution 1
Let be the total amount of votes casted. From the chart, Brenda received 30% of the votes and had 36 votes. We can express this relationship as . Solving for , we get x = 120.
We're being asked for the total number of votes cast -- that represents 100% of the total number of votes. Brenda received 36 votes, which is of the total number of votes. Multiplying 36 by , we get the total number of votes, which is 120.
If 36 votes is of all the votes, we can divide that by 3 to get 12 as 10%, and then we can multiply the 12 by 10 to get to 120. So, the answer is 120.
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