Huang Yi works as a paleontologist and a sculptor. She earns 5500 per month as a paleontologist and 4500 per month as a sculptor. Huang Yi wants to make more than 50000 this year. In the given inequality, P represents the number of months Huang Yi can work as a paleontologist and S represents the number of months she can work as a sculptor to reach her goal. If Huang Yi worked for 6 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?
Q. Huang Yi works as a paleontologist and a sculptor. She earns 5500 per month as a paleontologist and 4500 per month as a sculptor. Huang Yi wants to make more than 50000 this year. In the given inequality, P represents the number of months Huang Yi can work as a paleontologist and S represents the number of months she can work as a sculptor to reach her goal. If Huang Yi worked for 6 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?
Calculate Total Income: Determine the total income from working as a paleontologist for 6 months.Huang Yi earns 5500 per month as a paleontologist. If she worked for 6 months, her income from this job would be:Income = 5500×6Income = 33000
Calculate Remaining Amount: Calculate the remaining amount needed to reach the goal of more than 50000. Huang Yi wants to make more than 50000 this year. She has already made 33000 from her paleontology job. The remaining amount needed is: Remaining amount = Goal - Income from paleontology Remaining amount = 50000−33000 Remaining amount = 17000
Determine Minimum Months: Determine the minimum number of months Huang Yi needs to work as a sculptor to make the remaining amount.Huang Yi earns 4500 per month as a sculptor. To find out the minimum number of months she needs to work as a sculptor to earn at least 17000, we divide the remaining amount by her monthly income from sculpting:Number of months = Remaining amount / Monthly income from sculptingNumber of months = 17000/4500Number of months = 3.777…
Round Up Months: Round up the number of months to the next whole number.Since 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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