Huang Yi works as a paleontologist and a sculptor. Let $P$ represent the number of months Huang Yi must work as a paleontologist and $S$ represent the number of months she must work as a sculptor to make at least $\$50{,}000$. $5500P+4500S > 50000$ **Huang Yi worked for $6$ months as a paleontologist this year. What is the minimum number of months that she must work as a sculptor to reach her goal?** [[☃ radio 1]]