Question 82
When two red amoebas join, the result in one blue amoeba; when a red amoeba and a blue amoeba join, they turn into three red amoeba; and when two blue amoeba join, they become four red amoeba. Fernando observes a test tube with initially $19$ blue amoebas and $95$ red amoebas.
a. He observes that all the amoebas join in pairs, giving birth to a new generation of amoebas. Find the maximum number of amoebas in this generation.
b. There is, at some point, $100$ amoebas. How many of them are blue?
a. He observes that all the amoebas join in pairs, giving birth to a new generation of amoebas. Find the maximum number of amoebas in this generation.
b. There is, at some point, $100$ amoebas. How many of them are blue?