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# Sets & Mixtures #4

Author Message
Senior Manager
Joined: 10 Dec 2008
Posts: 484
Location: United States
GMAT 1: 760 Q49 V44
GPA: 3.9
Followers: 21

Kudos [?]: 95 [0], given: 12

Sets & Mixtures #4 [#permalink]  20 Aug 2009, 08:39
Among the 200 cars displayed at an auto show, 50 had built-in air conditioners and 63 had traction control systems. If 12% of cars with air conditioners had traction control systems, what percent of the cars without air conditioners had traction control systems?

* 35
* 36
* 38
* 40
* 45

don't we need to say that all cars at the show could only have AC or traction systems or both?
Manager
Joined: 17 Dec 2007
Posts: 107
Followers: 0

Kudos [?]: 49 [0], given: 8

Re: Sets & Mixtures #4 [#permalink]  20 Aug 2009, 09:22
bipolarbear wrote:
Among the 200 cars displayed at an auto show, 50 had built-in air conditioners and 63 had traction control systems. If 12% of cars with air conditioners had traction control systems, what percent of the cars without air conditioners had traction control systems?

* 35
* 36
* 38
* 40
* 45

don't we need to say that all cars at the show could only have AC or traction systems or both?

From the question, i arrived at 38%.

total no.of cars = 200;
Cars with air conditioning = 50
Cars without air conditioning = 200-50 = 150
Cars wtih traction system = 63
Cars with A/C and traction = 12% of A/c = 6
so rest of the traction systems are installed in non A/C cars which is 57/150 = 38%
Manager
Joined: 17 Dec 2007
Posts: 107
Followers: 0

Kudos [?]: 49 [0], given: 8

Re: Sets & Mixtures #4 [#permalink]  20 Aug 2009, 09:23
alwynjoseph wrote:
bipolarbear wrote:
Among the 200 cars displayed at an auto show, 50 had built-in air conditioners and 63 had traction control systems. If 12% of cars with air conditioners had traction control systems, what percent of the cars without air conditioners had traction control systems?

* 35
* 36
* 38
* 40
* 45

don't we need to say that all cars at the show could only have AC or traction systems or both?

From the question, i arrived at 38%.

total no.of cars = 200;
Cars with air conditioning = 50
Cars without air conditioning = 200-50 = 150
Cars wtih traction system = 63
Cars with A/C and traction = 12% of A/c = 6
so rest of the traction systems are installed in non A/C cars which is 57/150 = 38%

Senior Manager
Joined: 10 Dec 2008
Posts: 484
Location: United States
GMAT 1: 760 Q49 V44
GPA: 3.9
Followers: 21

Kudos [?]: 95 [0], given: 12

Re: Sets & Mixtures #4 [#permalink]  20 Aug 2009, 09:32
OA is C. I got that as well, but that still requires making the assumption
Re: Sets & Mixtures #4   [#permalink] 20 Aug 2009, 09:32
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# Sets & Mixtures #4

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