Question

A survey found that 39% of students in North Carolina Community Colleges come directly from high schools. The local college has a student population of 17,350.

How many of these schools would we expect to come directly from a high school?

Answer 1

We should expect 6766 students to come directly from a high school

Explanation:

This problem can be solved using a direct rule of three.

Initially, we have to identify the measures in the problem. Then, we have to identify the relationship between them, whether they are direct or inverse.

When they have a direct relationship, as the value of one measure increases, the value of the other measure decreases. Otherwise, when their relationship is inverse, as the value of one of the measures increase, the value of the other will decrease.

Here, our measures are:

- The total number of students

- The number of students that come directly from high schools.

We should expect that as the total number of students increase, so will the number of students that come directly from high schools. So the relationship between these measures is direct.

We have that for 100 students, 39 come directly from high schools.

So:

100 students - 39 from high school

17,350 students - x from high school

x = 17,350*39/100 = 6766.5

So we should expect 6766 students to come directly from a high school