264 sweets were shared among a class of students, 5/9 of them received 4 sweets each. 1/3 of the remaining students received 3 sweets each and the rest received 2 sweets each. How many students were there at first?

Answer 1

5/9 s got 4 each

(1/3)(4/9) s = 4/27 s got 3 each

s - 5/9 s - 4/27 s =(27 -15 -4)/27 = 8/27 s got 2 each
so
264 = 4(5/9)s + 3 (4/27) s + 2(8/27) s
264 = (1/27)s (60+12 +16)
7128 = 88 s
s = 81