A 220-year old oak tree produced acorns at two different rates. Until it reached maturity, it produced an average of 900 acorns a year. Once it reached maturity, it produced an average of 2200 acorns a year. Angel Oak has produced about 289,000 acorns in its lifetime. At what age did it reach maturity?

Question

cbarredo1 · Answer

Let the age at maturity be M 

900 M + ( 220 - M) 2200 = 289000 

900M + 484000 - 2200M = 289000 

1300M = 195000 

M = 195000 /1300 = 150 YEARS ANSWER