A farmer uses frac 2 5 of his land to grow cass... - WAEC Mathematics 2015 Question

Let x represent the entire farmland

then, (\frac{2}{5})x + (\frac{1}{3})[x - (\frac{2}{3}x)] + M = x

Where M represents the part of the farmland used for growing maize, continuing

(\frac{2}{5})x + (\frac{1}{3})x [1 - (\frac{2}{3}x)] + M = x

(\frac{2}{5}x + \frac{1}{3})x [(\frac{3}{5})] + M = x

(\frac{2}{5})x + (\frac{1x}{5}) + M = x

(\frac{3x}{5} + M = x)

M = x - (\frac{2}{5})x

= x[1 - (\frac{3}{5})]

= x[(\frac{2}{5})] = (\frac{2x}{5})

Hence the part of the land used for growing maize is

(\frac{2}{5})