SOLUTION: At the local 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

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Question 283354: At the local 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?
a) 12 b) 15 c) 36 d) 40 e) 50



Answer by Deina(147) About Me  (Show Source):
You can put this solution on YOUR website!
What do we know?
  • Math Club students make up 80% (0.8) of the Science Club.
  • The Science Club has 15 members, so
    15+%2A+0.8+=+12

  • Science Club members make up 30% (0.3) of the Math Club.
    We'll let "M" stand for the Math Club Membership.

    0.3M+=+12

    Divide both sides by 30% (0.3):
    0.3M%2F0.3+=+15%2F0.3

M = 40 and bob's your uncle!