1. Stating the problem: Three businessmen Njoroge, Chatles, and Omondi contributed a total of 329000 to start a business. We know the ratio of Njoroge's to Chatles's contribution is 2:3 and the ratio of Chatles's to Omondi's contribution is 4:5. We need to find how much Omondi contributed. 2. Assign variables based on ratios: - Let Njoroge's contribution be $2x$ and Chatles's contribution be $3x$ from the ratio $2:3$. - From the ratio of Charlo (Chatles) to Omondi $4:5$, and knowing Chatles is $3x$, we find a scaling factor such that $3x = 4y$. Then Omondi’s contribution is $5y$. 3. Find $y$ in terms of $x$: $$3x = 4y \implies y = \frac{3x}{4}$$ 4. Express Omondi's contribution in terms of $x$: $$\text{Omondi} = 5y = 5 \times \frac{3x}{4} = \frac{15x}{4}$$ 5. Sum all contributions: $$\text{Njoroge} + \text{Chatles} + \text{Omondi} = 2x + 3x + \frac{15x}{4} = 5x + \frac{15x}{4} = \frac{20x}{4} + \frac{15x}{4} = \frac{35x}{4}$$ 6. Equate the total to 329000 and solve for $x$: $$\frac{35x}{4} = 329000 \implies 35x = 329000 \times 4 = 1316000 \implies x = \frac{1316000}{35} = 37600$$ 7. Find Omondi's contribution: $$\text{Omondi} = \frac{15x}{4} = \frac{15 \times 37600}{4} = \frac{564000}{4} = 141000$$ Final answer: Omondi contributed 141000.