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John gives one-third of his money to Janet who has N105.00. He then finds that...

Mathematics
JAMB 1985

John gives one-third of his money to Janet who has N105.00. He then finds that his money is reduced to one-fourth of what Janet now has. Find how much money john has at first

  • A. N45.00
  • B. N48.00
  • C. N52.00
  • D. N60.00
  • E. N52.00
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Correct Answer: Option A
Explanation

Let x be John's money, Janet already had N105, \(\frac{1}{3}\) of x was given to Janet

Janet now has \(\frac{1}{3}\)x + 105 = \(\frac{x + 315}{3}\)

John's money left = \(\frac{2}{3}\)x = \(\frac{1}{4} \times\frac{ x + 315}{3}\)
cross multiplying 
24x = 3x + 945
∴ x = 45


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