Answer:
3/5 of students who take the first path and pass
Explanation:
* Lets explain how to solve the problem
- There are two pathways through the math program
- At this school 3/4 of students follow the first path
- The rest take the second path
- During one semester, 80% of the students who follow the first path
pass the program
- 20% of the students who follow the second path pass it
- We want to know the fraction of students who take the first path
and pass
* Lets solve the problem
∵ 3/4 of students follow the first path
∵ The rest take the second path
∴ The fraction of the rest = 1 - 3/4 = 1/4
∴ 1/4 of the students follow the second path
∵ 80% of the students who follow the first path pass the program
∵ 80% = 80/100 = 8/10 = 4/5
∵ 4/5 of the students who follow the first path pass the program
∵ 3/4 of students follow the first path
∴ 4/5 of 3/4 of the students of the first path pass
∵ 4/5 of 3/4 = 3/5
∴ 3/5 of students who take the first path and pass