Answer :
To Dian Fossey On Her 89nd Birthday
She studied mountain gorillas, and was a great zoologist; However, she was assassinated in her cabin December 26, 1985.
The suspect was not yet found.
You go looking out in the forest of Rwanda, and find a herd of gorillas wandering about in a clan of some sort.
You further examine it, and find that they are talking over who brings the bananas over.
They choose Gorilla #5, and you follow him on the journey to find bananas.
The gorilla explains to you that each person will have a certain amount of bananas.
It goes consecutive order:
Gorilla#1 , also known as Gorilla Supreme, is the highest rank of the gorilla clan.
Gorilla #5 needs to get himself and 10 others 330 bananas.
We need to find how many bananas Gorilla Supreme needs/desires
Let's start.
It's mentioned that each person ( gorilla I mean) gets a certain amount of bananas and it's a consecutive order.
And most probably decreasing in the sence of the order of the ranks.
Gorilla#5 needs to get himself and 10 others 330 bananas .
Suppose Gorila#5 needs x bananas for himself.
Gorilla#6 will get x-1 bananas
Gorilla#7 will get x-2 bananas
Gorilla#8 will get x-3 bananas
.
.
.
.
Gorilla#15 will get x-10 bananas
So
x + (x-1) + (x-2) + .... + (x-10) = 330
>> 11x - (1+2+...+10) = 330
>> 11x - 55 = 330
>> 11x = 385
>> x = 35
Gorilla#5 needs 35 bananas.
So
Gorilla#4 needs 36 bananas
Gorilla#3 needs 37 bananas
Gorilla#2 needs 38 bananas .