Question

At Annville Junior High School, $30\%$ of the students in the Math Club are in the Science Club, and $80\%$ of the students in the Science Club are in the Math Club. There are $15$ students in the Science Club. How many students are in the Math Club

1. hongcuc2
The total number of students who are in Maths club is 12. If there are 15 students in Maths club and 80 percent of the students in the Science club are in Maths club.
According to the given question.
Total number of students in the science club = 15
30 percent of the students in maths club are in the science club.
And, 80 percent of the students in the science club are in the maths club.
⇒ 80/100 × 15 = 12
⇒ 12 students of the science club are in the Maths club.
Therefore, the total number of students who are in Maths club is 12.