GeminiHeat wrote:
From 2008 to 2009, the number of Easter eggs in a certain egg hunt rose 20%, then fell 17% from 2009 to 2010. From 2008 to 2009, the ratio of Easter eggs to Easter bunnies in the same hunt fell 20%, then rose 22% from 2009 to 2010. By what approximate percent did the number of bunnies change over the full period from 2008 to 2010?
(A) 5% increase
(B) 2% increase
(C) 1% decrease
(D) 3% decrease
(E) 6% decrease
Let Easter eggs (E) and Easter bunnies (B) be 100 each
Then, ratio of Easter eggs to Easter bunnies = 1
Easter eggs (E) in 2010 = \(100(1.20)(0.83) = 99.6\)
\(\frac{E}{B}\) in 2010 = \((0.80)(1.22) = 0.976\)
\(B = \frac{E}{0.976} = \frac{99.6}{0.976} = 102.04\)
Therefore, % change = 2.04 increase
Hence, option B