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 had at first.
Worked solution (try it first)
Let John start with ₦J.
After giving away 31J he has 32J, and Janet has 105+31J.
John now has one fourth of Janet's money: 32J=41(105+31J).
Multiply both sides by 4: 38J=105+31J, so 37J=105.