A sum of N18,100 was shared among 5 boys and 4 girls with each boy taking N20.00 more than each girl. Find a boy's share.
Answer Details
The total amount of money shared among 5 boys and 4 girls is N18,100.00. If each boy takes N20.00 more than each girl, then the difference between a boy's share and a girl's share is N20.00. We can use this information to find the total share for both the boys and girls.
Let's call the girl's share "x". If a boy takes N20.00 more than a girl, then the boy's share is "x + N20.00". The total amount of money for the girls is 4 * x, and the total amount of money for the boys is 5 * (x + N20.00). We can use this information to set up an equation:
4 * x + 5 * (x + N20.00) = N18,100.00
Expanding the right side of the equation:
4 * x + 5 * x + 5 * N20.00 = N18,100.00
Combining like terms:
9 * x + 5 * N20.00 = N18,100.00
Subtracting 5 * N20.00 from both sides:
9 * x = N18,100.00 - 5 * N20.00
Calculating N18,100.00 - 5 * N20.00:
9 * x = N18,100.00 - 5 * N20.00
= N18,100.00 - N100.00
= N18,000.00
Dividing both sides by 9:
x = N18,000.00 / 9
= N2,000.00
So each girl's share is N2,000.00, and each boy's share is N2,000.00 + N20.00 = N2,020.00.