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# In each production lot for a certain toy, 25 percent of the

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Manager
Joined: 05 Sep 2007
Posts: 144
Location: New York
In each production lot for a certain toy, 25 percent of the [#permalink]

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24 Mar 2008, 13:36
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In each production lot for a certain toy, 25 percent of the toys are red and 75 percent of the toys are blue. Half the toys are size A and half are size B. If 10 out of a lot of 100 toys are red and size A, how many of the toys are blue and size B?
(A) 15 (B) 25 (C) 30
(D) 35 (E) 40
Senior Manager
Joined: 15 Aug 2007
Posts: 252
Schools: Chicago Booth
Re: PS:Toys % [#permalink]

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24 Mar 2008, 14:54
D-35

25 are Red - 10 are Size A - so 15 are Size B
75 are Blue - 40 are Size A and 35 are Size B (because there 50 toys each with sizes A and B)
Intern
Joined: 21 Mar 2008
Posts: 22
Re: PS:Toys % [#permalink]

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24 Mar 2008, 14:58
100 toys total.

25 red, 75 blue.
50 A, 50 B.

10 red/A, therefore, 15 red/B.

We have 40 left in A and 35 left in B.

Therefore, 35 in blue/B.

I think.
Director
Joined: 10 Sep 2007
Posts: 938
Re: PS:Toys % [#permalink]

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24 Mar 2008, 15:16
Given 100 Toys in total.
So toal read toys = 25
Total blue toys = 75
Total size A = 50
Total size B = 50
Total Red and Size A = 10
So Remaining Red toys will be all size B = 25 - 10 = 15
Remaining Size B toys which must come from Blue toys = 50 - 15 = 35

Answer D.
Manager
Joined: 28 Sep 2007
Posts: 210
Re: PS:Toys % [#permalink]

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24 Mar 2008, 15:27
wow, i did it this way and got it wrong. Anyone know what i did wrong please explain to me.

1/4*1/2=1/8 sizeA and red.

3/4*1/2=3/8 sizeB and blue.

3/8*100=37.5

where did my logic go wrong here?
Director
Joined: 10 Sep 2007
Posts: 938
Re: PS:Toys % [#permalink]

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24 Mar 2008, 15:32
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KUDOS
You cannot multiply as you did because It is not necessary that half of red toys are size A and remaining half are size B. Similarly it is also not necessary that half of blue toys are size A and remaining half are size B.
But by your calculation you are assuming just that. Thereby the flaw.
Re: PS:Toys %   [#permalink] 24 Mar 2008, 15:32
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# In each production lot for a certain toy, 25 percent of the

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