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

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

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}{3^2})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