Five kids were sharing out a box of candies. Alex took one-third, Bobby took one-quarter, Cass took one-fifth, and Danny took one-sixth. That left six candies as Emily's share. How many candies were there altogether?
1/3 + 1/4 + 1/5 + 1/6 = 20/60 + 15/60 + 12/60 + 10/60 = 57/60. So the remaining 3/60 (emily's share) equate to 6 sweets, so each sixtieth is worth 2 sweets, so 60/60 are 120 sweets.