three brothers in a business deal share the pro... - JAMB Mathematics 1990 Question
three brothers in a business deal share the profit at the end of a contact. The first received (\frac{1}{3}) of the profit and the second (\frac{2}{3}) of the remainder. If the third received the remaining N12000.00 how much profit did they share?
use "T" to represent the total profit. The first receives (\frac{1}{3}) T
remaining, 1 - (\frac{1}{3})
= (\frac{2}{3})T
The seconds receives the remaining, which is (\frac{2}{3}) also
(\frac{2}{3}) x (\frac{2}{3}) x (\frac{4}{9})
The third receives the left over, which is (\frac{2}{3})T - (\frac{4}{9})T = ((\frac{6 - 4}{9}))T
= (\frac{2}{9})T
The third receives (\frac{2}{9})T which is equivalent to N12000
If (\frac{2}{9})T = N12, 000
T = (\frac{12 000}{\frac{2}{9}})
= N54, 000
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