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:
[tex]\begin{gathered} \frac{500\text{ Kina}}{18\text{ hours}}=\frac{x}{6\text{ hours}} \\ \text{Simplify and rearrange} \\ x=\frac{(500)(6)}{18} \\ \text{Calculate} \\ x=166.67\text{ Kina} \end{gathered}[/tex]Therefore, Peter would be paid 166.67 Kina if he had worked for six hours.