Question

A recent conference had 650 people in attendance. In one exhibit room of 70 people, there were 18 teachers and 52 principals. What prediction can you make about the number of principals in attendance at the conference?

There were about 167 principals in attendance.
There were about 316 principals in attendance.
There were about 483 principals in attendance.
There were about 1,878 principals in attendance.

Answer 1

483

Explanation:

650 × 52 =33800

33800 ÷70 =482.857 = 483

Answer 2

Assuming that the proportion of principals in the exhibit room is similar to that in the entire conference, we can make a prediction about the number of principals in attendance at the conference.

Out of 70 people in the exhibit room, 52 were principals. So the proportion of principals in the exhibit room was 52/70 or 0.74.

If we assume that this proportion is similar to that in the entire conference, we can estimate the number of principals in attendance at the conference as:

Number of principals = Proportion of principals x Total attendance

Number of principals = 0.74 x 650

Number of principals = 481

So the closest answer choice is: There were about 483 principals in attendance.