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
101

So 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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