There are 216 couples competing in a dance contest.After each half hour one-third of the contest-ants are eliminated. How many couples will remain eligible for the prize after the first hour?

a. 24
b. 46
c. 48
d. 96
e. 98

please answer and explain

2 answers

After a half hour a third will go..
216x1/3=72 (go)
216-72=144 remaining after half hour

From the remaining 144, another third will go
144x1/3=48 (go in the second half hour=after an hour)
144-48=96 (left after an hour)

Therefore answer is d -96
The question asks how many remain after the first hour.

216/3 = 72
72/3 = 24