Question

Of the 60 students who auditioned in a singing contest, 40% were asked to come back for a second audition. After the second audition, 6 students were asked to come back for a final audition. What percent of change was there from the second audition to the final audition?

Answer 1

25%

Explanation:

In order to solve this problem we first need to figure out how many students were in the second audition. We calculate this by multiplying the 60 initial students by the 40% that made it to the second audition but in a decimal form which is 0.4 (40 / 100 = 0.4)

60 * 0.4 = 24 students

Now that we know that 24 students made it to the second audition and only 6 made it to the final audition we can divide the number of students in the final audition by those in the second audition to find out the percent of change.

6 / 24 = 0.25 .... multiply by 100 to turn decimal into a percentage.

0.25 * 100 = 25%

We can see now that the percentage of change is 25%