Answer: There are 82.5% after school students who are enrolled in his classes.
Step-by-step explanation:
Let the total number of students be 100
Percentage of students who need help in computer science = 30%
So, number of students who need help in computer science = 30
Percentage of students who need help in maths = 70%
So, number of students who need assistance in maths = 70
Of the students who need help,
40% are enrolled in Mr. Ellis's class during the school day,
So, it means 60% are enrolled in his class after the school day.
Number of students who are enrolled in his class after the school day = 60
Number of students who need help in Maths is given by
![\frac{70}{100}\times 60=42](https://tex.z-dn.net/?f=%5Cfrac%7B70%7D%7B100%7D%5Ctimes%2060%3D42)
Of the students that need help in maths, percent of students are enrolled in his class during the day = 25%
So, number of students who need help in maths and enrolled in his class after school hours
![\frac{75}{100}\times 42=31.5](https://tex.z-dn.net/?f=%5Cfrac%7B75%7D%7B100%7D%5Ctimes%2042%3D31.5)
Number of students who need help in computer science and enrolled in his class after school hours
![\frac{30}{100}\times 60=18](https://tex.z-dn.net/?f=%5Cfrac%7B30%7D%7B100%7D%5Ctimes%2060%3D18)
Therefore, there are
students who joined his class after school hours,
Percentage of the after students who are enrolled in Mr. Ellis's classes is given by
![\frac{49.5}{60}\times 100=82.5\%](https://tex.z-dn.net/?f=%5Cfrac%7B49.5%7D%7B60%7D%5Ctimes%20100%3D82.5%5C%25)
Hence, there are 82.5% after school students who are enrolled in his classes.