Huang yi works as a paleontologist and a sculptor. let p represent the number of months huang yi must work as a paleontologist and represent the number of months she must work as a sculptor to make at least $50,000\$50{,}000$50,000dollar sign, 50, comma, 000. 5500p+4500s≥55500p+4500s \geq 55500p+4500s≥55500, p, plus, 4500, s, is greater than or equal to, 5 huang yi worked for months as a paleontologist this year. what is the minimum number of months that she must work as a sculptor to reach her goal?