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A Penteria is a special (fictional) kind of bacteria such that, regardless of the original population in a collection, the population increases by 5 every minute. Additionally, at the end of every hour, all but the initial ones die. If 137  Penteria are alive after 506 minutes, how many were there at the beginning?

 Dec 18, 2018
 #1
avatar+100519 
+2

Well....if all but the initial ones die at the end of the hour....then the number that remain at the end of any hour just must be what we started with....call this N

 

506 minutes = 506/ 60   = 8 + 26/60 =  26 minutes after the top of the hour

 

So

 

N + 26 (5) = 137

 

N + 130 = 137      

 

N = 7

 

 

cool cool cool

 Dec 18, 2018
edited by CPhill  Dec 18, 2018
 #2
avatar+866 
+1

Thank you, CPhill! 

ant101  Dec 18, 2018
 #3
avatar+100519 
0

OK, ant....!!!

 

cool cool cool

CPhill  Dec 18, 2018

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