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A farmer uses 25 of his land to grow cassava, \...

A farmer uses 25 of his land to grow cassava, 13 of the remaining for yam and the rest for maize. Find the part of the land used for maize

A.

215

B.

25

C.

23

D.

45

Correct answer is B

Let x represent the entire farmland

then, 25x + 13[x - 23x] + M = x

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

25x + 13x [1 - 23x] + M = x

25x+13x [35] + M = x

25x + 1x5 + M = x

3x5+M=x

M = x - 25x

= x[1 - 35]

= x[25] = 2x5

Hence the part of the land used for growing maize is

25