SOLUTION: At Annville high school,30% of the students in the Math club are in the Science club, & 80% of the students in the science club are in the math club. There are 15 students in the s

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Question 53534: At Annville high school,30% of the students in the Math club are in the Science club, & 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?
Answer by Edwin McCravy(20054) About Me  (Show Source):
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At Annville high school,30% of the students in
the Math club are in the Science club, & 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?

Let M = number of students in the math club.

Number of students in the math club that are
also in the science club = 30% of M = .3M

Number of students in the science club that
are also in the math club = 80% of 15 or 12
 
These are equal

.3M = 12
  M = 12/.3
  M = 40

So there are 40 students in the math club.

Edwin