# Farmer Lee had 200 more chickens than Farmer Wong at first. Farmer Lee sold 40% of his chickens to Farmer Wong. Farmer Wong in return sold 20% of his chickens to Farmer Lee. In the end, Farmer Wong had 24 chickens more than Farmer Lee How many chickens did Farmer Lee have at first?

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Lee                             Wong

At first                                   u+200                              u

Lee sold Wong              -0.4(u+200)               +0.4(u+200)    (when Lee sold 40% of his chix to Wong)

—————–             ——————-

Updated chix                     0.6u+120                     1.4u+80

Wong sold Lee              +0.2(1.4u+80)           -0.2(1.4u+80)   (When Wong sold 20% of his chix to Lee)

——————-          ——————–

In the end                     0.88u + 136                  1.12u + 64

Wong has 24 more chickens than Lee, so to make them equal, add 24 to Lee’s numbers

1.12u + 64 = 0.88u + 136 + 24

0.24u = 96

u = 400

Hence at first Lee has 400+200 = 600 chickens.