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# Bonny grows only pink parrots and green parrots. He grows

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Math Expert
Joined: 02 Sep 2009
Posts: 58453
Re: Bonny grows only pink parrots and green parrots. He grows  [#permalink]

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12 Feb 2012, 04:36
5
14
00:00

Difficulty:

55% (hard)

Question Stats:

71% (03:49) correct 29% (03:35) wrong based on 129 sessions

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happycreck1 wrote:
Bonny grows only pink parrots and green parrots. He grows three times as many green parrots as pink parrots. He feeds his parrots either soy beans or wheat, but no single parrot feeds on both kinds of food. Half of the parrots that feed on soy beans are green, and among the pink parrots, those that feed on soy beans are twice as many as those that feed on wheat. If 40 of Bonny’s parrots feed on wheat, how many of the wheat feeding parrots are green?

A. 15
B. 30
C. 35
D. 45

HI

It seems that this question is not from GMAT sources as it has only 4 answer choices instead of 5. Anyway, the easiest way to solve it would be to fill a double set matrix step by step:
Attachment:

Parrots.PNG [ 4.02 KiB | Viewed 4776 times ]
Notice, that we have two equations: y+y/2=x and x+3x=2y+40 --> solve for x and y --> x=15 and y=10 --> ?=35.

Check solved matrix:
Attachment:

Parrots - Solution.PNG [ 3.7 KiB | Viewed 4770 times ]

Hope it's clear.

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Re: Bonny grows only pink parrots and green parrots. He grows  [#permalink]

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18 Aug 2013, 10:32
Attached solution:

Since the 2X is given as 40

2X=40

X=20

Hence,

7X/4 = 35
Attachments

Solution.JPG [ 18.15 KiB | Viewed 4133 times ]

Senior Manager
Joined: 10 Jul 2013
Posts: 289
Re: Bonny grows only pink parrots and green parrots. He grows  [#permalink]

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18 Aug 2013, 11:21
Bunuel wrote:
happycreck1 wrote:
Bonny grows only pink parrots and green parrots. He grows three times as many green parrots as pink parrots. He feeds his parrots either soy beans or wheat, but no single parrot feeds on both kinds of food. Half of the parrots that feed on soy beans are green, and among the pink parrots, those that feed on soy beans are twice as many as those that feed on wheat. If 40 of Bonny’s parrots feed on wheat, how many of the wheat feeding parrots are green?

A. 15
B. 30
C. 35
D. 45

HI

It seems that this question is not from GMAT sources as it has only 4 answer choices instead of 5. Anyway, the easiest way to solve it would be to fill a double set matrix step by step:
Attachment:
Parrots.PNG
Notice, that we have two equations: y+y/2=x and x+3x=2y+40 --> solve for x and y --> x=15 and y=10 --> ?=35.

Check solved matrix:
Attachment:
Parrots - Solution.PNG

Hope it's clear.

it's a kaplan tastes math ,.

food ! green ! pink ! total
..............................................!............................!...................................
soy ! s/2 ! 2y ! S
................. !..........................!.............................!....................................
wheat ! 3x-2y ! y ! 40
...................!.........................!.............................!.................................
total ! 3x ! x !
...................!.........................!.............................!...................................

3x-y = 40
3y=x
So, x=15 and y = 5

Now, 3x-2y = 45-10 = 35 (Answer C)
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Re: Bonny grows only pink parrots and green parrots. He grows  [#permalink]

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09 Jun 2014, 05:44
I think statement is confusing : among the pink parrots, those that feed on soy beans are twice as many as those that feed on wheat.

Second those is ambiguous whether it refers to all parrots or pink parrots.
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Re: Bonny grows only pink parrots and green parrots. He grows  [#permalink]

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09 Jul 2014, 19:19
Bunuel wrote:
happycreck1 wrote:
Bonny grows only pink parrots and green parrots. He grows three times as many green parrots as pink parrots. He feeds his parrots either soy beans or wheat, but no single parrot feeds on both kinds of food. Half of the parrots that feed on soy beans are green, and among the pink parrots, those that feed on soy beans are twice as many as those that feed on wheat. If 40 of Bonny’s parrots feed on wheat, how many of the wheat feeding parrots are green?

A. 15
B. 30
C. 35
D. 45

HI

It seems that this question is not from GMAT sources as it has only 4 answer choices instead of 5. Anyway, the easiest way to solve it would be to fill a double set matrix step by step:
Attachment:
Parrots.PNG
Notice, that we have two equations: y+y/2=x and x+3x=2y+40 --> solve for x and y --> x=15 and y=10 --> ?=35.

Check solved matrix:
Attachment:
Parrots - Solution.PNG

Hope it's clear.

Hi
When Used pink=30 and green= 90...I got 30 as an answer. Please correct me where I am making mistake

soya wheat
Pink 30 20 10
Green 90 60 30
Total 120 80 40

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Bonny grows only pink parrots and green parrots. He grows  [#permalink]

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Updated on: 09 Jul 2014, 21:44
GGMAT760 wrote:
Bunuel wrote:
happycreck1 wrote:
Bonny grows only pink parrots and green parrots. He grows three times as many green parrots as pink parrots. He feeds his parrots either soy beans or wheat, but no single parrot feeds on both kinds of food. Half of the parrots that feed on soy beans are green, and among the pink parrots, those that feed on soy beans are twice as many as those that feed on wheat. If 40 of Bonny’s parrots feed on wheat, how many of the wheat feeding parrots are green?

A. 15
B. 30
C. 35
D. 45

HI

It seems that this question is not from GMAT sources as it has only 4 answer choices instead of 5. Anyway, the easiest way to solve it would be to fill a double set matrix step by step:
Attachment:
Parrots.PNG
Notice, that we have two equations: y+y/2=x and x+3x=2y+40 --> solve for x and y --> x=15 and y=10 --> ?=35.

Check solved matrix:
Attachment:
Parrots - Solution.PNG

Hope it's clear.

Hi
When Used pink=30 and green= 90...I got 30 as an answer. Please correct me where I am making mistake

soya wheat
Pink 30 20 10
Green 90 60 30
Total 120 80 40

Actual Pink = 15; Green = 45 Total = 60

Green Wheat = 20+15 = 35
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Originally posted by PareshGmat on 09 Jul 2014, 21:30.
Last edited by PareshGmat on 09 Jul 2014, 21:44, edited 1 time in total.
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Bonny grows only pink parrots and green parrots. He grows  [#permalink]

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09 Jul 2014, 21:42
Solved using single variable "x"

Refer diagram for details. We require to find the value of the green shaded block

Total Pink = x

Total Green = 3x

Total Parrots = x + 3x = 4x

Total Parrots = Total Green + Total Pink = Total Wheat + Total Soy = 4x

Parrots on wheat = 40

So, Parrots on Soy = 4x - 40

1/2 of Parrots on Soy are green

So, Green Parrots = 2x-20; so pink would be same = 2x - 20

Among the pink parrots, those that feed on soy beans are twice as many as those that feed on wheat

2(20-x) = 2x-20

x = 15

(20+x) = Green Parrots on Wheat = 20+15 = 35

Attachments

ch.png [ 6.68 KiB | Viewed 3422 times ]

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Re: Bonny grows only pink parrots and green parrots. He grows  [#permalink]

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02 Aug 2014, 05:56
1
It's from Economist GMAT

A. 5
B. 15
C. 30
D. 35
E. 45

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Joined: 09 Sep 2013
Posts: 13262
Re: Bonny grows only pink parrots and green parrots. He grows  [#permalink]

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09 Jun 2019, 23:07
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Re: Bonny grows only pink parrots and green parrots. He grows   [#permalink] 09 Jun 2019, 23:07
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