5,500 P+4,500 S 50,000 Huang Yi works as a paleontologist and a sculptor. She earns $5,500 per month as a paleontologist and $4,500 per month as a sculptor. Huang Yi wants to make more than $50,000 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?

Question

5,500 P+4,500 S > 50,000 Huang Yi works as a paleontologist and a sculptor. She earns  $5,500 per month as a paleontologist and  $4,500 per month as a sculptor. Huang Yi wants to make more than  $50,000 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?

Bytelearn · Accepted Answer

Calculate paleontology income: Determine the total income from working as a paleontologist for 6 months. Income from paleontology = $5,500 per month * 6 monthsCalculate income needed from sculpting: Subtract the income from paleontology from the goal of $50,000 to find out how much more she needs to earn from sculpting. Amount needed from sculpting = $50,000 - $33,000Determine minimum months as a sculptor: Divide the remaining amount needed by the monthly income from sculpting to find the minimum number of months she needs to work as a sculptor. Number of months as a sculptor = $17,000 / $4,500 per monthRound up to whole number of months: Since Huang Yi cannot work a fraction of a month and she needs to make more than $50,000, round up to the next whole number to find the minimum whole number of months. Minimum whole number of months as a sculptor = 4 months

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