At a certain health club, 30% of the members use both the : Quant Question Archive [LOCKED]
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 24 Jan 2017, 09:48

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# At a certain health club, 30% of the members use both the

Author Message
Intern
Joined: 17 Jul 2006
Posts: 28
Followers: 0

Kudos [?]: 0 [0], given: 0

At a certain health club, 30% of the members use both the [#permalink]

### Show Tags

22 Jul 2006, 10:16
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

At a certain health club, 30% of the members use both the pool and sauna, but 40% of the members who use the pool do not use the sauna. What percent of the members of the health club use the pool?

Senior Manager
Joined: 22 May 2006
Posts: 371
Location: Rancho Palos Verdes
Followers: 1

Kudos [?]: 110 [0], given: 0

### Show Tags

22 Jul 2006, 11:06
cejismundo wrote:
At a certain health club, 30% of the members use both the pool and sauna, but 40% of the members who use the pool do not use the sauna. What percent of the members of the health club use the pool?

Let total = T, use pool = P, use sauna = S
P&S : 0.3T
40% of the members who use the pool do not use the sauna means that "60% of the members who use pool use the sauna."
0.6P = 0.3T
P = 1/2T

thus, 50% use the pool
_________________

The only thing that matters is what you believe.

Director
Joined: 28 Dec 2005
Posts: 755
Followers: 1

Kudos [?]: 14 [0], given: 0

### Show Tags

22 Jul 2006, 16:17
cejismundo wrote:
At a certain health club, 30% of the members use both the pool and sauna, but 40% of the members who use the pool do not use the sauna. What percent of the members of the health club use the pool?

Damn, took me too long to solve this, I am so out of practice.

The problem is actually pretty simple.

Let total number of members be X, set of members using the pool be P, and set of members using the sauna be S.

Then PS = 0.3X
PS=0.6P
P=PS/0.6=0.3X/0.6=X/2

Therefore 1/2 the members use the pool, as a percentage its 50%
Re: percentage problem   [#permalink] 22 Jul 2006, 16:17
Display posts from previous: Sort by