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Err… I can only do it by equations…

Let G be the number of girls that left the hall.

(3/5) 120 – G = (4/7) (120 – G)

72 – G = (4/7) 120 – (4/7) G

72 – (4/7)120 = (3/7)G

G = (7/3)72 – (7/3)(4/7)120 = 168 – (4/3)120 = 168 – 160 = 8 #

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