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How many of the 120 cars in a certain dealer s inventory are

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lumone
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How many of the 120 cars in a certain dealer s inventory are [#permalink] New post   06 Feb 2008, 08:40
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How many of the 120 cars in a certain dealer’s inventory are blue
sedans?

(1) Half of the sedans in the dealer’s inventory are blue.
(2) One-fifth of the cars in the dealer’s inventory are sedans.



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Re: How many of the 120 cars in a certain dealer s inventory are [#permalink] New post   06 Feb 2008, 08:48
lumone wrote:
How many of the 120 cars in a certain dealer’s inventory are blue
sedans?

(1) Half of the sedans in the dealer’s inventory are blue.
(2) One-fifth of the cars in the dealer’s inventory are sedans.


we have two conditions. blue. sedan.

we have a total of 120.

we want blue sedan/120

1) dont know how many sedans there are
could be 120 ==> 60 blue sedan
could be 2 ==> 1 blue sedan
INSUFF

2) nothing about blue
INSUFF

together, 1/5 of 120 is 24. half of that is 12. SUFF
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lumone
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Re: How many of the 120 cars in a certain dealer s inventory are [#permalink] New post   06 Feb 2008, 09:20
that was easy actually.

I just misread the questions.

I read "cars" instead of "sedans" in (1) :roll: :roll:
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Re: How many of the 120 cars in a certain dealer s inventory are [#permalink] New post   06 Feb 2008, 16:53
C

stat 1 tells ys that half of all sedans are blue, but we dont know the split from 120 between sedans and non sedans. insuff.

stat 2 tells us that 24 of the 120 cars are sedans. nothing about how many are blue. insuff.

together, we know that there are 24 sedans from stat 2, and that half of these are blue, from stat 1. suff.
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Re: How many of the 120 cars in a certain dealer s inventory are [#permalink] New post   06 Feb 2008, 16:57
We know there are 12 cars, but do we know there are 12 blue sedans?

----------------Blue-------Not Blue------Total
Sedan-----------X------------X-----------24
Not Sedan-------X------------X-----------96
Total------------12-----------108---------120

How do we know those 12 do not belong to the "Not Sedan" group?
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Re: How many of the 120 cars in a certain dealer s inventory are [#permalink] New post   07 Feb 2008, 19:39
I don't think that even if we take both statements together it is going to be sufficient though. The reason is that we don't know how much "overlap" there will be between cars that are blue and cars that are sedans.

Think of it this way:
Statement I: 120 cars, 60 are blue - let's just say those with numbers 1-60 are blue
Statement II: 24 are sedans - we can have cars with numbers 97-120 be sedan (in which case there will be no blue sedans), or we can have cars 1-24 be sedan (in which case there will be 24 blue sedans).

Conclusion: Insufficient info even with both statements
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Re: How many of the 120 cars in a certain dealer s inventory are [#permalink] New post   12 Feb 2008, 06:25
aimecon, jimmy ->

120 cars in inventory

We know from statement (2) that there are 24 sedans (120/5=24).

Then, (1) states that half of the sedans are blue. (0.5*24= 12). There are 12 blue sedans.

C is correct.



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Re: How many of the 120 cars in a certain dealer s inventory are [#permalink]
12 Feb 2008, 06:25
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