A man left his estate in kerugoya to his wife and to each of his two sons.The remainder was to be shared equally among his six brothers. If the estate was worth sh.3456000,how much did each of these people get?
what remainder? How much was left to the wife and sons?
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First, let's determine the portion of the estate that was left to the wife and two sons.
The estate's worth is sh.3456000.
Since the estate was left to the wife and two sons, the total portion they received is: 1 + 2 = 3 parts.
To determine the value of one part, we divide the estate's worth by the number of parts: sh.3456000 / 3 = sh.1,152,000.
Now let's calculate the portion that was to be shared equally among the six brothers.
The total number of parts remaining is: 6.
To determine the value of one part for the brothers, we divide the estate's worth by the total number of parts: sh.3456000 / 6 = sh.576,000.
Therefore, each of the following received the following amounts:
- Wife and sons: sh.1,152,000 each
- Brothers: sh.576,000 each
To determine how much each person gets, we need to calculate the share for each category: the wife, the two sons, and the six brothers.
First, let's find the share for the wife and sons. The estate was left to the wife and two sons, which means they will share a portion of the total value. To calculate this share, we need to divide the total value of the estate by the number of people in this category.
Share for the wife and two sons = Total value / (Number of people + 1) = 3456000 / (3 + 1) = 3456000 / 4 = 864000
Therefore, the wife and each son will receive 864,000 shillings.
Next, let's find the share for the six brothers. The remaining portion of the estate is to be shared equally among the six brothers. To calculate this share, we need to subtract the share for the wife and sons from the total value of the estate, and then divide it by the number of brothers.
Remaining value for brothers = Total value - Share for wife and sons = 3456000 - 864000 = 2592000
Share for each brother = Remaining value for brothers / Number of brothers = 2592000 / 6 = 432000
Therefore, each of the six brothers will receive 432,000 shillings.
In summary, the distribution of the estate will be as follows:
- The wife and each son will receive 864,000 shillings.
- Each of the six brothers will receive 432,000 shillings.