Three Farmers

October 24, 2014

Today’s exercise is a math puzzle from Terence Tao:

Three farmers were selling chickens at the local market. One farmer had 10 chickens to sell, another had 16 chickens to sell, and the last had 26 chickens to sell. In order not to compete with each other, they agreed to all sell their chickens at the same price. But by lunchtime, they decided that sales were not going so well, and they all decided to lower their prices to the same lower price point. By the end of the day, they had sold all their chickens. It turned out that they all collected the same amount of money, $35, from the day’s chicken sales. What was the price of the chickens before lunchtime and after lunchtime?

Your task is to calculate the price of chickens before and after lunch. When you are finished, you are welcome to read or run a suggested solution, or to post your own solution or discuss the exercise in the comments below.


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