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
Correct Answer: A
Explanation
Let x be John's money, Janet already had N105, \(\frac{1}{3}\) of x was given to Janet Janet now has \(\frac{1}{3^2}\)x + 105 = \(\frac{x + 315}{3}\) John's money left = \(\frac{2}{3}\)x = \(\frac{\frac{1}{4}(x + 315)}{3}\) = \(\frac{2}{3}\) 24x = 3x + 945 ∴ x = 45
