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Need Help - Explain Math Problem

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Need Help - Explain Math Problem [#permalink] New post 04 Dec 2005, 10:01
I am having problems understanding how to solve this problem. The explanation provided for this problem does not makes sense to you me. I am looking to see if someone can solve this problem and explain their method to me.

At a Certain health club, 30 percent of the member 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) 33.33%
b) 40%
c) 50%
d) 62.5%
e) 75%
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 [#permalink] New post 04 Dec 2005, 17:14
40% of the pool members do not use sauna. This means that 60% use sauna. This 60% is 30 so 40 % will be 20. So the percentage of members using pool is 20 + 30 = 50%

The answer is C.
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 [#permalink] New post 04 Dec 2005, 19:12
C 50%

let total member in club are 100.
Member using Pool and Sauna = 30 % = 30

and 40 percent of the members who use the pool do not use the sauna so the 60% of the people who uses pool also uses Sauna.

we know that 30% uses both pool and sauna

X*60%=30 ==> X = 50 so there are 50 member uses pool i.e 50%
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 [#permalink] New post 05 Dec 2005, 00:20
If we take it this way: Suppose total number is 100 then 30 people use both pool and sauna.
Then it says that 40% use just the pool and not the sauna => that 60% use both sauna and pool.
Now if 60% use both then we know that
60% of total that use pool=30 hence the total number of people that use pool is 50.
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 [#permalink] New post 05 Dec 2005, 09:49
From teh data provided we know that 60% of the people using the pool account for 30% of the total group. From this, we can calculate the total percentage of people that use the pool

x=30%/0.6= 50%
  [#permalink] 05 Dec 2005, 09:49
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