Question

Kofi and Ama together invest 52million in a business and agree to share the profit in the ratio of their investment. kofi received 5million and Ama received 8million as profit at the end of the first year. How much did each invest

Answer 1

let their ratio of investment

$x\colon y$

then

$x+y=52$

again

$\begin{gathered} \frac{x}{y}=\frac{5}{8} \\ 8x=5y \end{gathered}$

Now

$\begin{gathered} 8x+8y=416 \\ 5y+8y=416 \\ 13y=416 \\ y=32 \end{gathered}$

So

$x=\frac{5\times32}{8}=20$

So kofi invest 20 million and ama invest 32 million each