SOLUTION: At the north campus, 5% of the students in the department are men. At the south campus, 80% of the students in the department are men. After the merger, 50% of the 150 students ar

Question 962125: At the north campus, 5% of the students in the department are men. At the south campus, 80% of the students in the department are men. After the merger, 50% of the 150 students are men. How many students were in the department at the north and south campuses before the merger?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of men on N.C.
Let = number of men on S.C.
--------------------------------
(1)
(2)
---------------------------
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
-------------------------

and
(1)
(1)
(1)
----------------
There were 60 men on N.C.
There were 90 men on S.C.
check:
(2)
(2)
(2)
(2)
OK

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