Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 25 May 2017, 18:36

### 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

# This is fairly simple I'm sure, but I keep getting c. 30

Author Message
Intern
Joined: 16 Jun 2006
Posts: 8
Followers: 0

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

This is fairly simple I'm sure, but I keep getting c. 30 [#permalink]

### Show Tags

05 Jul 2006, 20:55
00:00

Difficulty:

(N/A)

Question Stats:

100% (00:00) correct 0% (00:00) wrong based on 3 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

This is fairly simple I'm sure, but I keep getting c. 30 instead of a.15, the answer given by the OG (problem from OG 11, diagnostic test, #6 PS). My equation is 200= 60+3x=80-x

Thanks.
*************************************************
A marketing firm determined that, of 200 households surveyed, 80 used neither brand A nor brand B soap, 60 used only brand A soap, and for every household that used both brands of soap, 3 used only brand B soap. How many of the 200 households surveyed used both brands of soap?

a. 15
b. 20
c.30
d.40
e. 45

SVP
Joined: 30 Mar 2006
Posts: 1730
Followers: 1

Kudos [?]: 82 [0], given: 0

### Show Tags

05 Jul 2006, 23:33
Okay .......

80 use neither brand . Hence 120 people use either of the brands.

Let x be the number of people using both the brands.
Hence number of people using only brand B is 3x
Given: number of people using only brand A is 60

Hence

60 + x +3x = 120

4x = 60
x = 15
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5045
Location: Singapore
Followers: 31

Kudos [?]: 376 [0], given: 0

### Show Tags

06 Jul 2006, 19:38
Your venn diagram should give you the values:

#(A and B) = x
#(A only) = 60
#(B only) = 3x
#(Neither A nor B) = 80

So

x+60+3x+80 = 200
4x + 140 = 60
x = 15
06 Jul 2006, 19:38
Display posts from previous: Sort by