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Sets & Mixtures #4

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Senior Manager
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Sets & Mixtures #4 [#permalink] New post 20 Aug 2009, 09:39
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?
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Re: Sets & Mixtures #4 [#permalink] New post 20 Aug 2009, 10:22
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%
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Re: Sets & Mixtures #4 [#permalink] New post 20 Aug 2009, 10:23
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%


Please share the OA
Senior Manager
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Joined: 11 Dec 2008
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Schools: HBS '15 (WL), Stanford '15 (I), Wharton '15 (WL)
GMAT 1: 760 Q49 V44
GPA: 3.9
Followers: 14

Kudos [?]: 79 [0], given: 9

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Re: Sets & Mixtures #4 [#permalink] New post 20 Aug 2009, 10:32
OA is C. I got that as well, but that still requires making the assumption
Re: Sets & Mixtures #4   [#permalink] 20 Aug 2009, 10:32
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