Three brothers in a business deal share the profit at the end of a contract. The first received 13 of the profit and the second 23 of the remainder. If the ...

Assessment: JAMB UTME - Mathematics - 2021 Subject: General Mathematics

Question 1 Report

Three brothers in a business deal share the profit at the end of a contract. The first received 13 of the profit and the second 23 of the remainder. If the third received the remaining N12000.00 how much profit did they share?
Answer Details
use "T" to represent the total profit. The first receives 13 1 3  T

remaining, 1 - 13 1 3

= 23 2 3 T

The seconds receives the remaining, which is 23 2 3  also

23 2 3  x 23 2 3  x 49 4 9

The third receives the left over, which is 23 2 3 T - 49 4 9 T = (6−49 6 − 4 9 )T

= 29 2 9 T

The third receives 29 2 9 T which is equivalent to N12000

If 29 2 9 T = N12, 000

T = 1200029 12 000 2 9

= N54, 000

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