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WAEC Mathematics 2015 Paper
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© africaexams.com
Question : 35
Total: 45
A farmer uses
2
5
of his land to grow cassava,
1
3
of the remaining for yam and the rest for maize. Find the part of the land used for maize
2
15
2
5
2
3
4
5
Validate
Solution:
Let x represent the entire farmland
then,
2
5
x +
1
3
[x -
2
3
x
] + M = x
Where M represents the part of the farmland used for growing maize, continuing
2
5
x +
1
3
x [1 -
2
3
x
] + M = x
2
5
x
+
1
3
x [
3
5
] + M = x
2
5
x +
1
x
5
+ M = x
3
x
5
+
M
=
x
M = x -
2
5
x
= x[1 -
3
5
]
= x[
2
5
] =
2
x
5
Hence the part of the land used for growing maize is
2
5
© africaexams.com
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