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Q7 solution
Let's represent the total value of the estate as 'x'.
Since 1/3 of the estate is given to Lamptey, Lamptey's share is (1/3)(x) = x/3.
The remaining estate after giving Lamptey his share is (2/3)(x).
Nadia's share of the remaining estate is (1/3)((2/3)(x)) = (2/9)(x).
The remaining estate after giving Nadia her share is (2/3)(x) - (2/9)(x) = (4/9)(x).
Joyce's share of what still remains is (3/4)((4/9)(x)) = (12/36)(x) = (1/3)(x).
After giving Joyce her share, the remaining estate is (4/9)(x) - (1/3)(x) = (4/9)(x) - (3/9)(x) = (1/9)(x).
The wife's share of the remaining estate is (2/3)((1/9)(x)) = (2/27)(x).
Given that the wife received a total of GH¢ 105,000.00, we can write the equation:
(2/27)(x) = GH¢ 105,000.00.
To find the answer to (a), we need to solve for 'x':
2/27 = GH¢ 105,000.00 / x
2x = 105,000.00 * 27
2x = 2,835,000.00
x = 2,835,000.00 / 2
x = GH¢ 1,417,500.00
Therefore, the total value of the estate is GH¢ 1,417,500.00.
To find the extended family's share of the estate, we need to subtract the total shares already distributed from the total value of the estate:
Extended Family's share = GH¢ 1,417,500.00 - (Lamptey's share + Nadia's share + Joyce's share + Wife's share)
Extended Family's share = GH¢ 1,417,500.00 - (x/3 + 2x/9 + x/3 + 2x/27)
Extended Family's share = GH¢ 1,417,500.00 - (9x/27 + 6x/27 + 3x/27 + 2x/27)
Extended Family's share = GH¢ 1,417,500.00 - (20x/27)
We already know that x = GH¢ 1,417,500.00, so substituting this value, we get:
Extended Family's share = GH¢ 1,417,500.00 - (20 * 1,417,500.00 / 27)
Extended Family's share = GH¢ 1,417,500.00 - GH¢ 74,027.78
Extended Family's share = GH¢ 1,343,472.22
Therefore, the extended family's share of the estate is GH¢ 1,343,472.22.
@Wasscefinallist
Let's represent the total value of the estate as 'x'.
Since 1/3 of the estate is given to Lamptey, Lamptey's share is (1/3)(x) = x/3.
The remaining estate after giving Lamptey his share is (2/3)(x).
Nadia's share of the remaining estate is (1/3)((2/3)(x)) = (2/9)(x).
The remaining estate after giving Nadia her share is (2/3)(x) - (2/9)(x) = (4/9)(x).
Joyce's share of what still remains is (3/4)((4/9)(x)) = (12/36)(x) = (1/3)(x).
After giving Joyce her share, the remaining estate is (4/9)(x) - (1/3)(x) = (4/9)(x) - (3/9)(x) = (1/9)(x).
The wife's share of the remaining estate is (2/3)((1/9)(x)) = (2/27)(x).
Given that the wife received a total of GH¢ 105,000.00, we can write the equation:
(2/27)(x) = GH¢ 105,000.00.
To find the answer to (a), we need to solve for 'x':
2/27 = GH¢ 105,000.00 / x
2x = 105,000.00 * 27
2x = 2,835,000.00
x = 2,835,000.00 / 2
x = GH¢ 1,417,500.00
Therefore, the total value of the estate is GH¢ 1,417,500.00.
To find the extended family's share of the estate, we need to subtract the total shares already distributed from the total value of the estate:
Extended Family's share = GH¢ 1,417,500.00 - (Lamptey's share + Nadia's share + Joyce's share + Wife's share)
Extended Family's share = GH¢ 1,417,500.00 - (x/3 + 2x/9 + x/3 + 2x/27)
Extended Family's share = GH¢ 1,417,500.00 - (9x/27 + 6x/27 + 3x/27 + 2x/27)
Extended Family's share = GH¢ 1,417,500.00 - (20x/27)
We already know that x = GH¢ 1,417,500.00, so substituting this value, we get:
Extended Family's share = GH¢ 1,417,500.00 - (20 * 1,417,500.00 / 27)
Extended Family's share = GH¢ 1,417,500.00 - GH¢ 74,027.78
Extended Family's share = GH¢ 1,343,472.22
Therefore, the extended family's share of the estate is GH¢ 1,343,472.22.
@Wasscefinallist