raghavs wrote:
At a certain health club, 30 percent of the members use both the pool and sauna, but 40 percent of the members who use the pool do not use the sauna. What percent of the members of the health club use the pool?
A. 33 1/3%
B. 40%
C. 50%
D. 62 1/2%
E. 75%
We can let the total number of members = 100 and x = the number of members who use the pool.
Thus, we have 30 members who use both the pool and sauna. Since 40 percent of the members who use the pool do not use the sauna, we know that 60 percent of the members who use the pool also use the sauna, and we already know that this number is 30. Thus, we can create the following equation:
0.6x = 30
x = 30/0.6 = 300/6 = 50
Thus, 50/100 = 50% of the members use the pool.
Answer: C
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