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## Before expansion, a zoo had $$343$$ birds in $$7$$ cages. If, after the expansion was complete, there were $$719$$ birds

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### Before expansion, a zoo had $$343$$ birds in $$7$$ cages. If, after the expansion was complete, there were $$719$$ birds

by BTGmoderatorLU » Thu Jul 28, 2022 3:42 pm

00:00

A

B

C

D

E

## Global Stats

Source: Princeton Review

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 OA is D

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### Re: Before expansion, a zoo had $$343$$ birds in $$7$$ cages. If, after the expansion was complete, there were $$719$$ b

by [email protected] » Wed Dec 21, 2022 11:26 am
BTGmoderatorLU wrote:
Thu Jul 28, 2022 3:42 pm
Source: Princeton Review

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 OA is D
Solution:

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%.