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

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BTGmoderatorLU: Moderator; Posts: 2650; Joined: Sun Oct 15, 2017 1:50 pmFollowed by: 6 members

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

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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

Source: Beat The GMAT — Problem Solving | Thu Jul 28, 2022 3:42 pm

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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 Scott@TargetTestPrep » 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%.

Answer: D

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