SOLUTION: In a school, all of the students study physics or chemistry. Sixty percent of the students who study physics also study chemistry, but only one third of the chemistry students stud

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Question 313796: In a school, all of the students study physics or chemistry. Sixty percent of the students who study physics also study chemistry, but only one third of the chemistry students study physics. If there are 110 students in this school, how many of them study both of these subjects?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
.6 p = b ___ p = (5/3) b

c / 3 = b ___ c = 3 b

p + c - b = 110 ___ (5/3)b + 3b - b = 110 ___ (11/3)b = 110 ___ b = 30