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Before expansion, a zoo had 343 birds in 7 cages. If, after the expans

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Before expansion, a zoo had 343 birds in 7 cages. If, after the expans  [#permalink]

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New post 16 Nov 2018, 10:46
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Before expansion, a zoo had 343 birds in 7 cages. If, after the expansion was complete, there were 719 birds in 11 cages, what was the approximate percent increase in the average number of birds per cage?

a. 11%

b. 15%

c. 24%

d. 33%

e. 50%

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Re: Before expansion, a zoo had 343 birds in 7 cages. If, after the expans  [#permalink]

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New post 16 Nov 2018, 10:59
initial no of birds per cage= 343/7 = >59
no of birds per cage after expansion = 719/11 ~> 65

%increase=65-59/59 *100 ~>> 11% option A
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Re: Before expansion, a zoo had 343 birds in 7 cages. If, after the expans  [#permalink]

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New post 16 Nov 2018, 11:09
ju9549 wrote:
initial no of birds per cage= 343/7 = >59
no of birds per cage after expansion = 719/11 ~> 65

%increase=65-59/59 *100 ~>> 11% option A


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Re: Before expansion, a zoo had 343 birds in 7 cages. If, after the expans  [#permalink]

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New post 30 Nov 2018, 20:22
Before: 343/7 = 49 birds/ cage
After: 719/11 = 65 birds/cage
Number increased = 65 - 49 = 16
% increase = 16/49
49 is approximately 50 => 33% => D
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Re: Before expansion, a zoo had 343 birds in 7 cages. If, after the expans  [#permalink]

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New post 29 Dec 2018, 12:58
Hi All,

We're told that BEFORE expansion, a zoo had 343 birds in 7 cages and AFTER the expansion was complete, there were 719 birds in 11 cages. We're asked for the approximate percent increase in the average number of birds per cage. This question is based around a couple of standard math Formulas: the Average Formula and Percent Change Formula.

Before the expansion, the average birds/cage was 343/7 = 49 birds/cage
After the expansion, the average birds/cage was 719/11 = approximately 65 birds/cage

The percent increase in birds/cage = (new - old)/(old) = (65 - 49)/49 = 16/49 = approximately 1/3 = approximately 33 1/3%

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Re: Before expansion, a zoo had 343 birds in 7 cages. If, after the expans  [#permalink]

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New post 10 Feb 2019, 08:42
AkshdeepS wrote:
Before expansion, a zoo had 343 birds in 7 cages. If, after the expansion was complete, there were 719 birds in 11 cages, what was the approximate percent increase in the average number of birds per cage?

a. 11%

b. 15%

c. 24%

d. 33%

e. 50%


The average number of birds per cage after the expansion was 719/11 ≈ 65, and before the expansion, the average number of birds per cage was 343/7 = 49.

We use the percent increase formula: (New - Old)/Old x 100. So the percent increase is:

(65 - 49)/49 x 100

Rounding 49 to 50, we have:

(65 - 50)/50 x 100

(65 - 50) x 2 = 30 percent, which is closest to 33%.

Answer: D
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Re: Before expansion, a zoo had 343 birds in 7 cages. If, after the expans  [#permalink]

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New post 10 Feb 2019, 09:05
AkshdeepS wrote:
Before expansion, a zoo had 343 birds in 7 cages. If, after the expansion was complete, there were 719 birds in 11 cages, what was the approximate percent increase in the average number of birds per cage?

a. 11%

b. 15%

c. 24%

d. 33%

e. 50%


Keyword :

average

number of birds per cage

This question is such an eye opener.

Average of 7 cages = 49

Average of 11 cages = 65

% Increase= 65-49/49 * 100 = 33

D
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Re: Before expansion, a zoo had 343 birds in 7 cages. If, after the expans   [#permalink] 10 Feb 2019, 09:05
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