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

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

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New post Updated on: 26 Jan 2014, 06:31
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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

Originally posted by yogachgolf on 27 Nov 2007, 16:21.
Last edited by Bunuel on 26 Jan 2014, 06:31, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.
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Re: Toys [#permalink]

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New post 27 Nov 2007, 16:39
yogachgolf wrote:
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



D. 50-15=35. Best to use a double set matrix.
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Re: Toys [#permalink]

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New post 27 Nov 2007, 16:43
GMATBLACKBELT wrote:
yogachgolf wrote:
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



D. 50-15=35. Best to use a double set matrix.


What is double set matrix?
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Re: Toys [#permalink]

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New post 27 Nov 2007, 16:57
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yogachgolf wrote:
GMATBLACKBELT wrote:
yogachgolf wrote:
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



D. 50-15=35. Best to use a double set matrix.


What is double set matrix?


There is a thread on here about double and triple matrix's by Killersquirrel.
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Double Matrix.xls [13.5 KiB]
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 [#permalink]

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New post 16 Dec 2007, 10:01
Got B. I quite like drawing trees for these type of questions. Allows me to visualize things much easier.

We know 10 toys are red and size a out of 100. Moving up the tree, we can find out that overall 25 toys are red, because 25% of toys are red, and 25% of 100 is 25. That leaves 15 red and size B

Moving to the blue side, overall we must have 25 blue. Since 50% of toys are size b, and we already have 15 size b of red, we need size b red + size b blue = 50, and 50-15=35
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Re: In each production lot for a certain toy, 25 percent of the [#permalink]

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New post 27 Jan 2014, 02:26
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yogachgolf wrote:
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


Double-set matrix solution:
Attachment:
Untitled.png
Untitled.png [ 3.79 KiB | Viewed 3912 times ]
Yellow box corresponds to the number of the toys that are blue and size B.

Answer: D.
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Re: In each production lot for a certain toy, 25 percent of the [#permalink]

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New post 26 Feb 2018, 11:15
yogachgolf wrote:
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


We are given that we have 100 toys, and we see that 50 are size A and 50 are size B.

We also see that 75 toys are blue and 25 are red.

Since 10 toys are red and size A, 50 - 10 = 40 are blue and size A.

Since 40 toys are blue and size A, 75 - 40 = 35 are blue and size B.

Answer: D
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Re: In each production lot for a certain toy, 25 percent of the   [#permalink] 26 Feb 2018, 11:15
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