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:

$$\begin{gathered} 840=(1+1\mathrm{/}5)x \\ x={\displaystyle \frac{840}{1+1\mathrm{/}5}}=700t \\ 840=(1-44\mathrm{/}100)y \\ y={\displaystyle \frac{840}{1+44\mathrm{/}100}}=1500t \end{gathered}$$

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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