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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] New post 09 Feb 2004, 11:43
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

Explain your answers..
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 [#permalink] New post 09 Feb 2004, 11:58
Answer: D 35

Assume Total = 100

N(R) = N(R&A) + N(R&B) = 25
N(Bl) = N(Bl&A) + N(Bl&B) = 75
N(A) = N(R&A) + N(Bl&A) =50
N(B) = N(R&B) + N(Bl&B) 50
N(R&A) = 10

Solving these eqn, gives N(Bl&B) = 35.

Where,
N(X) = Number of X
R = red,
Bl =Blue
A = type A
B = type B
  [#permalink] 09 Feb 2004, 11:58
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In each production lot for a certain toy, 25 percent of the

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