### Brain Teasers

# Truckload of Chickens

A man took a truckload of chickens to market. In the first hour, he sold one-half of his birds, plus one-half of a chicken. The next hour, he sold one-third of his remaining chickens plus one-third of a chicken. In the third hour, he sold one-fourth of what he had left, plus three-fourths of a chicken. The last hour, he sold one-fifth of the chickens, plus one-fifth of a chicken. He did not cut up any chickens to make these sales. He returned home with 19 chickens. How many did he take to market?

### Answer

101So at each hour he has:

101

50

33

24

19

The equations is 4/5*(3/4*(2/3*(.5X-.5)-1/3)-.75)-.2=19

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