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# In a class, 10% of the girls have blue eyes, and 20% of the boys have

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Joined: 02 Sep 2009
Posts: 58454
In a class, 10% of the girls have blue eyes, and 20% of the boys have  [#permalink]

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Updated on: 24 Jul 2019, 05:15
00:00

Difficulty:

5% (low)

Question Stats:

95% (01:47) correct 5% (01:51) wrong based on 38 sessions

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In a class, 10% of the girls have blue eyes, and 20% of the boys have blue eyes. If the ratio of girls to boys in the class is 3 : 4, then what is the fraction of the students in the class having blue eyes?

(A) 11/70
(B) 11/45
(C) 14/45
(D) 12/33
(E) 23/49

Source: Nova GMAT
Difficulty Level: 500

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Originally posted by Bunuel on 10 Apr 2019, 00:42.
Last edited by SajjadAhmad on 24 Jul 2019, 05:15, edited 1 time in total.
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Joined: 03 Nov 2018
Posts: 32
Re: In a class, 10% of the girls have blue eyes, and 20% of the boys have  [#permalink]

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10 Apr 2019, 01:04
1
Ratio 3 : 4 means multiple of 3 + 4 = 7 total students

Blue-eyed students to total students is:
(10% of 3 + 20% of 4) / 7
(0,3 + 0,8) / 7
Numerator and denominator both times 10 to remove decimal.
A) 11/70
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Re: In a class, 10% of the girls have blue eyes, and 20% of the boys have  [#permalink]

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10 Apr 2019, 03:08
Bunuel wrote:
In a class, 10% of the girls have blue eyes, and 20% of the boys have blue eyes. If the ratio of girls to boys in the class is 3 : 4, then what is the fraction of the students in the class having blue eyes?

(A) 11/70
(B) 11/45
(C) 14/45
(D) 12/33
(E) 23/49

total students = 70
so girls ; 3/7* 70 = 30 and boys = 40
so % having blue eyes girls = 3 and boys = 8
total blue eyes = 11
ratio 11/70 IMO A
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Re: In a class, 10% of the girls have blue eyes, and 20% of the boys have  [#permalink]

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13 Apr 2019, 18:55
1
1
Bunuel wrote:
In a class, 10% of the girls have blue eyes, and 20% of the boys have blue eyes. If the ratio of girls to boys in the class is 3 : 4, then what is the fraction of the students in the class having blue eyes?

(A) 11/70
(B) 11/45
(C) 14/45
(D) 12/33
(E) 23/49

We can let the number of boys = 80 and the number of girls = 60.

Thus, the number of girls with blue eyes is 6, and the number of boys with blue eyes is 16.

The fraction of the students with blue eyes is 22/140 = 11/70.

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Re: In a class, 10% of the girls have blue eyes, and 20% of the boys have   [#permalink] 13 Apr 2019, 18:55
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