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# At a local modeling agency with 500 models, 300 have green eyes and th

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At a local modeling agency with 500 models, 300 have green eyes and th  [#permalink]

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14 Jul 2020, 03:16
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100% (01:34) correct 0% (00:00) wrong based on 44 sessions

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At a local modeling agency with 500 models, 300 have green eyes and the rest have blue eyes. If 400 of the models are over six feet tall and ten percent of the blue eyed models are less than six feet tall, how many of the green eyed models are over six feet tall?

A. 20
B. 80
C. 100
D. 180
E. 220

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Re: At a local modeling agency with 500 models, 300 have green eyes and th  [#permalink]

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14 Jul 2020, 03:21
At a local modeling agency with 500 models, 300 have green eyes and the rest have blue eyes = 200 models

If 400 of the models are over six feet tall and

ten percent of the blue eyed models are less than six feet tall, 90% is over six feet tall.
90% of 200 = 180 are over six feet tall.

the green eyed models that are over six feet tall = 400-180 = 220

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Re: At a local modeling agency with 500 models, 300 have green eyes and th  [#permalink]

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14 Jul 2020, 03:30

Green are 300 and blue are 200.

Out of 200 blue ones 90% are above 6 ft which is 180.

Total above 6 ft are 400.

So Green and above 6 ft are 400- 180 = 220
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At a local modeling agency with 500 models, 300 have green eyes and th  [#permalink]

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Updated on: 14 Jul 2020, 03:58
Can be solved using double matrix

6FT <6FT TOTAL
GREEN 220 80 300

BLUE 20 200

TOTAL 400 100 500

First fill in numbers which are given, total green eyed 300, blue eyed 200, 6ft models: 400
Now we fill 100 , to make total 500. now 100 models less than 6ft.

10% of 200 is 20, so blue eyed < 6 ft 20
less than 6ft = 80,,

Required: 300-80 = 220, Green eyed+ 6ft

IMO E
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Originally posted by rishab0507 on 14 Jul 2020, 03:51.
Last edited by rishab0507 on 14 Jul 2020, 03:58, edited 1 time in total.
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At a local modeling agency with 500 models, 300 have green eyes and th  [#permalink]

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14 Jul 2020, 03:51
Bunuel wrote:
At a local modeling agency with 500 models, 300 have green eyes and the rest have blue eyes. If 400 of the models are over six feet tall and ten percent of the blue eyed models are less than six feet tall, how many of the green eyed models are over six feet tall?

A. 20
B. 80
C. 100
D. 180
E. 220

Please check the step by step Video solution using DOUBLE MATRIX METHOD...

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Re: At a local modeling agency with 500 models, 300 have green eyes and th  [#permalink]

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14 Jul 2020, 03:54
At a local modeling agency with 500 models, 300 have green eyes and the rest have blue eyes. If 400 of the models are over six feet tall and ten percent of the blue eyed models are less than six feet tall, how many of the green eyed models are over six feet tall?

ANS: E (220)

Total: 500
Green eyes: 300
Blue eyes: 200

Models over 6 feet: 400
Models less than 6 feet: 100

Blue eyes models less than 6 feet: 0.10 *200 = 20
Green eyes models less than 6 feet: 80 (as total less than 6 feet tall models are 100)

Green eyes models over 6 feet: 300-80 = 220

Hope it helps..
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Re: At a local modeling agency with 500 models, 300 have green eyes and th  [#permalink]

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14 Jul 2020, 15:18
Bunuel wrote:
At a local modeling agency with 500 models, 300 have green eyes and the rest have blue eyes. If 400 of the models are over six feet tall and ten percent of the blue eyed models are less than six feet tall, how many of the green eyed models are over six feet tall?

A. 20
B. 80
C. 100
D. 180
E. 220

90% of the blue-eyed models are over 6 feet tall = 200* .9 = 180
Rest 6 feet tall models = 220, who are green-eyed
Re: At a local modeling agency with 500 models, 300 have green eyes and th   [#permalink] 14 Jul 2020, 15:18