A sum of $728 is divided among a group of people. 7/8 of the people receive $4 each, 1/3 of the remainder receive $3 each and the rest receive $2 each. How many people are there altogether?
first group = 7/8 p = 21/24 p
second group = 1/3 *1/8 = 1/24 p
third group = 24/24 - 21/24 - 1/24 = 2/24 p
so
4* 21/24 p + 3* 1/24 p + 2* 2/24 p = 728
(84+3+4) p = 728*24
91 p = 728*24
p = 192