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N140,000 is shared between ABU, Kayode and Uche. Abu has twice as much as Kayode,...

Mathematics
WAEC 2007

N140,000 is shared between ABU, Kayode and Uche. Abu has twice as much as Kayode, and Kayode has twice as much as Uche. What is Kayode's share?
  • A. N80,000
  • B. N40,000
  • C. N20,000
  • D. N10,000
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Correct Answer: Option B
Explanation
\(Abu = 2x\\
Kayode = x\\
Uche = \frac{x}{2}\\
2x+x+\frac{x}{2}=140,000\\
\frac{7x}{2}=140,000\\
7x = 280,000\\
x=\frac{280,000}{7}\\
x=40,000\)Kayode receives N40,000

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