Huang yi works as a paleontologist and a sculptor. she earns \$5{,}500$5,500dollar sign, 5, comma, 500 per month as a paleontologist and \$4{,}500$4,500dollar sign, 4, comma, 500 per month as a sculptor. huang yi wants to make more than \$50{,}000$50,000dollar sign, 50, comma, 000 this year. in the inequality shown above, ppp represents the number of months huang yi can work as a paleontologist and sss represents the number of months she can work as a sculptor to reach her goal. if huang yi worked for 666 months as a paleontologist this year, what is the minimum whole number of months that she must work as a sculptor to reach her goal?