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

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27 Nov 2007, 16:21

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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?

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

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

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.

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

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

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26 Jan 2014, 06:06

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

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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 [ 3.79 KiB | Viewed 2068 times ]

Yellow box corresponds to the number of the toys that are blue and size B.

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