At a certain health club, 30 percent of the members use both the pool and sauna, but 50 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?  Choose the correct choice from the following choices: A) 33 1/3% B) 46 2/3% C) 50% D) 62 1/2% E) 75%
P = pool S = sauna   given P+S = 30 then let only S be x and only P will be 100 - (30+x) = 70 -x   50% of (70-x) = x =&gt; 35 - 0.5x = x =&gt; x = 23 1/3% so only P = 70 -23 1/3 = 46 2/3%   Answer 46 2/3%
<result>B</result>
At a certain health club, 30 percent of the members use both the pool and sauna, but 50 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?