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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]

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New post 03 Oct 2018, 04:12
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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 1000 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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In a consignment of toys, one-fourth of the toys are white and three-f  [#permalink]

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New post Updated on: 03 Oct 2018, 18:24
Bunuel wrote:
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 1000 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


Let, Total Toys = 1000

White = (1/4)*1000 = 250
Blue = (3/4)*1000 = 750

Boy Toys = (1/2)*1000 = 500
Girl Toys = (1/2)*1000 = 500

White Toys for Boys = 100
Blue toys for boys = Total Boy toys - Total white toys for boys = 500-100 = 400


Blue toys for girls = Total Blue toys - Blue toys for boys = 750 - 400 = 350

Answer: Option D
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Originally posted by GMATinsight on 03 Oct 2018, 06:18.
Last edited by GMATinsight on 03 Oct 2018, 18:24, edited 1 time in total.
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Re: In a consignment of toys, one-fourth of the toys are white and three-f  [#permalink]

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New post 03 Oct 2018, 08:47
GMATinsight wrote:
Bunuel wrote:
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 1000 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


Let, Total Toys = 1000

White = (1/4)*1000 = 250
Blue = (3/4)*1000 = 750

Boy Toys = (1/2)*1000 = 500
Girl Toys = (1/2)*1000 = 500

White Toys for Boys = 100
Blue toys for boys = Total Boy toys - Total white toys for boys = 500-100 = 400


Blue toys for girls = Total Blue toys - Blue toys for boys = 750 - 400 = 300

Answer: Option C



OA should be D 750-400=350
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Re: In a consignment of toys, one-fourth of the toys are white and three-f  [#permalink]

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New post 03 Oct 2018, 12:53
I used a double matrix method

Got 350. Answer D
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Re: In a consignment of toys, one-fourth of the toys are white and three-f  [#permalink]

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New post 08 Feb 2020, 21:24
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Re: In a consignment of toys, one-fourth of the toys are white and three-f   [#permalink] 08 Feb 2020, 21:24
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