John gives one-third of his money to Janet who has ₦105.00. He then finds that his money is reduced to one-fourth of what Janet now has. Find how much money...

Assessment: JAMB UTME - Mathematics - 1985 Subject: General Mathematics

Question 1 Report

John gives one-third of his money to Janet who has ₦105.00. He then finds that his money is reduced to one-fourth of what Janet now has. Find how much money john has at first
Answer Details
Let x be John's money, Janet already had ₦105,  1 3  of x was given to Janet
Janet now has  1 3 2 x + 105 =  x + 315 3
John's money left =  2 3 x
=  1 4 ( x + 315 ) 3
=  2 3
24x = 3x + 945
∴ x = 45

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