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
[tex]\frac{70}{100}\times 60=42[/tex]
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
[tex]\frac{75}{100}\times 42=31.5[/tex]
Number of students who need help in computer science and enrolled in his class after school hours
[tex]\frac{30}{100}\times 60=18[/tex]
Therefore, there are [tex]31.5+18=49.5[/tex] students who joined his class after school hours,
Percentage of the after students who are enrolled in Mr. Ellis's classes is given by
[tex]\frac{49.5}{60}\times 100=82.5\%[/tex]
Hence, there are 82.5% after school students who are enrolled in his classes.
