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Let F be the full amount of meal (food);
C = the portion for one child and M = the portion for one man.
You are given
F = 120*M = 200*C. (1)
Then F = 150C + 50C; but, according to (1), 50C =
=
= 30M.
Therefore,
F = 150C + 50C = 150C + 30M.
Answer. The reminded food is for 30 men.