g = number of gold coins finds
He wins 25 points for each gold coins he finds, so the number of points he wins is given by:
[tex]25g[/tex]His goal is to win mora than 200 points, therefore:
[tex]\begin{gathered} 25g>200 \\ \text{ Since he wants to know how many gold coins he needs to find} \\ \text{let's solve for g:} \\ \text{divide both sides by 25} \\ g>\frac{200}{25} \\ g>8 \end{gathered}[/tex]He needs to find more than 8 gold coins, 9 will be enough for example