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In a consignment of toys, one-fourth of the toys are white and three-f

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In a consignment of toys, one-fourth of the toys are white and three-f [#permalink] New post   08 Jan 2024, 00:05
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In a consignment of toys, one-fourth of the toys are white and three-fourth of the toys are blue. Half the toys are for boys and half are for girls. If 100 out of a lot of 1,000 toys are white and for boys, how many of the toys are blue and for girls?


(A) 150
(B) 250
(C) 300
(D) 350
(E) 400

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Re: In a consignment of toys, one-fourth of the toys are white and three-f [#permalink] New post   19 Jan 2024, 00:33
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A double matrix will be the best bet here.

Attachment:
File comment: Double Matrix of toys
nuri graphics 500x500 (5).png
nuri graphics 500x500 (5).png [ 27.14 KiB | Viewed 447 times ]


(# of white toys for boys) + (# of blue toys for boys) = total # of toys for boys
Since half of the 1000 toys are for boys, 500 toys are for boys. 100 of those toys for boys are white, so that leaves 400 toys for boys to be blue.
500 - 100 = 400

(# of blue toys for girls) + (# of blue toys for girls) = total # of blue toys
Since three-fourth of the toys are blue, 750 toys are blue. That leaves 350 blue toys to be for girls.
750 - 400 = 350
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Re: In a consignment of toys, one-fourth of the toys are white and three-f [#permalink] New post   19 Jan 2024, 00:40
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Great explanation.
I have exhausted the kudos for you sir at the moment :)
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Re: In a consignment of toys, one-fourth of the toys are white and three-f [#permalink]
19 Jan 2024, 00:40
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