Question

Me. Ellis is a teacher who tutors after school. Of the students he tutors, 30% need help in computer science and 70% need assistance in math. Of the students who need help, 40% are enrolled in Mr. Ellis's class during the school day. Of the students that need help in math, 25% are enrolled in his class during the day. What percent of the after school students are enrolled in Mr. Ellis's classes?

Answer 1

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Answer 2

Answer: There are 82.5% after school students who are enrolled in his classes.

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

`(70)/(100)* 60=42`

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

`(75)/(100)* 42=31.5`

Number of students who need help in computer science and enrolled in his class after school hours

`(30)/(100)* 60=18`

Therefore, there are
`31.5+18=49.5` students who joined his class after school hours,

Percentage of the after students who are enrolled in Mr. Ellis's classes is given by

`(49.5)/(60)* 100=82.5\%`

Hence, there are 82.5% after school students who are enrolled in his classes.