2290.11 – The Dutch Miller

Tags:Problem Set 15GeometryAlgebra

A Dutch Miller, name of Tontin van Leeuwen, grinds people's grain and keeps 1/10 of what he grinds as his fee. How many kilos of grain must farmer Henk de Bruijn take to Jos so that he will come home with exactly 100 kilos of grain (which by then will be flour)?


Henk takes x kilos and wants to have 100 kilos to take home. If Tontin takes 1/10 of the load, Henk keeps 9/10.

So 0.9x = 100, x = 100/0.9 = 111.111... kilos. He'll probably bring somewhat over 111 kilos and have a little extra at the end.