Given:
500.00 kina for the work in 18 hours
To determine the amount of payment for 6 hours of work, we use ratio.
So we let x be the amount of payment if Peter had worked for six hours:
![\begin{gathered} \frac{500\text{ Kina}}{18\text{ hours}}=\frac{x}{6\text{ hours}} \\ \text{Simplify and rearrange} \\ x=((500)(6))/(18) \\ \text{Calculate} \\ x=166.67\text{ Kina} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/4e5lc9cqephq9zc2ef9use9oxwck4jujw0.png)
Therefore, Peter would be paid 166.67 Kina if he had worked for six hours.