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Huang Yi works as a paleontologist and a sculptor. She earns 55005500 per month as a paleontologist and 45004500 per month as a sculptor. Huang Yi wants to make more than 5000050000 this year. In the given inequality, PP represents the number of months Huang Yi can work as a paleontologist and SS represents the number of months she can work as a sculptor to reach her goal. If Huang Yi worked for 66 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?

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Q. Huang Yi works as a paleontologist and a sculptor. She earns 55005500 per month as a paleontologist and 45004500 per month as a sculptor. Huang Yi wants to make more than 5000050000 this year. In the given inequality, PP represents the number of months Huang Yi can work as a paleontologist and SS represents the number of months she can work as a sculptor to reach her goal. If Huang Yi worked for 66 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?
  1. Calculate Total Income: Determine the total income from working as a paleontologist for 66 months.\newlineHuang Yi earns 55005500 per month as a paleontologist. If she worked for 66 months, her income from this job would be:\newlineIncome = 5500×65500 \times 6\newlineIncome = 3300033000
  2. Calculate Remaining Amount: Calculate the remaining amount needed to reach the goal of more than 5000050000. Huang Yi wants to make more than 5000050000 this year. She has already made 3300033000 from her paleontology job. The remaining amount needed is: Remaining amount = Goal - Income from paleontology Remaining amount = 500003300050000 - 33000 Remaining amount = 1700017000
  3. Determine Minimum Months: Determine the minimum number of months Huang Yi needs to work as a sculptor to make the remaining amount.\newlineHuang Yi earns 45004500 per month as a sculptor. To find out the minimum number of months she needs to work as a sculptor to earn at least 1700017000, we divide the remaining amount by her monthly income from sculpting:\newlineNumber of months = Remaining amount / Monthly income from sculpting\newlineNumber of months = 17000/450017000 / 4500\newlineNumber of months = 3.7773.777\ldots
  4. Round Up Months: Round up the number of months to the next whole number.\newlineSince Huang Yi cannot work a fraction of a month and she needs to make more than $\(50\),\(000\), we round up the number of months to the next whole number:\(\newline\)Minimum whole number of months = \(4\)

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