# The farmer

The farmer harvested 840 tons of grain in 2006, which was 44% less than in 2005, and one-fifth more than in 2004. How many tons of grain harvested in years 2005 and 2004?

Correct result:

x =  700 t (2004)
y =  1500 t (2005)

#### Solution:

$840 = (1+1/5)x \ \\ x = \dfrac{840}{1+1/5} = 700 \ t \ \\ 840 = (1-44/100)y \ \\ y = \dfrac{840}{1+44/100} = 1500 \ t$

840 = (1-44/100)y
840 = (1+1/5)x

840 = (1-44/100)•y
840 = (1+1/5)•x

56y = 84000
6x = 4200

x = 700
y = 1500

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