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
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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 \(\frac{1}{3^2}\)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
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