A man left of 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 Kshs.3456000, how much did each of these people get?

Mke alipata $\frac{1}{4}$ ya mali yote.

$$\text{Fungu la mke} = \frac{1}{4} \times 3,456,000$$ $$\text{Fungu la mke} = 864,000 \text{ Kshs.}$$

$$\text{Kiasi kilichobaki} = 3,456,000 - 864,000$$ $$\text{Kiasi kilichobaki} = 2,592,000 \text{ Kshs.}$$

Kila mwana alipata $\frac{1}{5}$ ya kiasi kilichobaki. Kuna wana wawili.

$$\text{Fungu la kila mwana} = \frac{1}{5} \times 2,592,000$$ $$\text{Fungu la kila mwana} = 518,400 \text{ Kshs.}$$

Jumla ya fungu la wana wawili = $2 \times 518,400 = 1,036,800$ Kshs.

$$\text{Kiasi kilichobaki kwa ndugu} = 2,592,000 - 1,036,800$$ $$\text{Kiasi kilichobaki kwa ndugu} = 1,555,200 \text{ Kshs.}$$

Kiasi kilichobaki kigawanywe sawa kwa ndugu sita.

$$\text{Fungu la kila ndugu} = \frac{1,555,200}{6}$$ $$\text{Fungu la kila ndugu} = 259,200 \text{ Kshs.}$$

Hivyo, kila mmoja alipata:

• Mke: $\boxed{\text{Kshs. } 864,000}$
• Kila mwana: $\boxed{\text{Kshs. } 518,400}$
• Kila ndugu: $\boxed{\text{Kshs. } 259,200}$