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Before the expansion, a zoo had 343 birds in 7 cages. If, after the expansion was completed, there were...

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by AAPL » Thu Apr 30, 2020 4:51 am

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Before the expansion, a zoo had 343 birds in 7 cages. If, after the expansion was completed, 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%

OA D
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Source: — Problem Solving |

AAPL wrote:
Thu Apr 30, 2020 4:51 am
Princeton Review

Before the expansion, a zoo had 343 birds in 7 cages. If, after the expansion was completed, 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%

OA D
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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