Friday, 15 January 2016

Fibonacci's Money Question

We thought that Fibonacci's discovery of Hindu-Arabic numerals with Zero changed life for people in Europe. Buying and selling things became easier. Merchants like Fibonacci could do their maths easier... and make more money.

We looked at some of the pictures from his book:

Then we looked at one of the questions from his book (changed slightly):
So, three men got together as a company (a team). They all put some money together. They did some buying and selling, and because they bought things for less money and sold them for more, they ended up with more money.

They had put 50 pounds in at the start. But at the end, they had 100 pounds.

This was the question: How should they share that 100 pounds?

About a third of us thought the money should be shared equally. About a third thought some should get more than others. And about a third were not sure, or thought it was more complicated than that.
"Share equally"
"Different amounts for each person"
There were great arguments from each group. Lots of people changed their mind too.

At the end we asked, if they did get different amounts, what amount should they get? Kirill said that as they had ended up with double of what they started with, they should all get double what they put in.

It would be interesting to have any thoughts about this in the comments!

1 comment:

  1. Great discussion, Y4. And I can see the logic to Kirill's solution. Is there enough money for this to happen? And what do you do with the money that is left over, or if there is not enough?