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
N58.00
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #32209)