# 9.3.1. Collecting Data

The numbers of students in a university in the first, second, third, and fourth years are 1 000, 5 000, 8 000, and 6 000, respectively. Given that 700 students were selected randomly to participate in a contest, where each year is represented by its proportion in the total numbers given, find the number of the third-year students who were selected.

• A280
• B175
• C210
• D35

### Example

The numbers of students in a university in the first, second, third, and fourth years are 1 000, 5 000, 8 000, and 6 000, respectively. Given that 700 students were selected randomly to participate in a contest, where each year is represented by its proportion in the total numbers given, find the number of the third-year students who were selected.

### Solution

In the university, there are a total of students. Suppose the number of third-year students who were selected to participate in the content is . Solve for as follows.

Thus, the number of third-year students who were selected to participate in the contest is 280.

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