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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Before expansion, a zoo had \(343\) birds in \(7\) cages. If, after the expansion was complete, there were \(719\) birds
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Solution:BTGmoderatorLU wrote: ↑Thu Jul 28, 2022 3:42 pmSource: 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
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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