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SCORPION-xisa [38]
3 years ago
7

Huang Yi works as a paleontologist and a sculptor. Let PPP represent the number of months Huang Yi must work as a paleontologist

and SSS represent the number of months she must work as a sculptor to make at least \$50{,}000$50,000dollar sign, 50, comma, 000. 5500P+4500S \geq 500005500P+4500S≥500005500, P, plus, 4500, S, is greater than or equal to, 50000 Huang Yi worked for 666 months as a paleontologist this year. What is the minimum number of months that she must work as a sculptor to reach her goal?
Mathematics
1 answer:
kozerog [31]3 years ago
8 0

Answer:  4\ months

Step-by-step explanation:

Let be "P"  the number of months Huang Yi must work as a paleontologist  and "S" the number of months she must work as a sculptor to make at least $50,000

The inequality given in the exercise is:

5500P+4500S \geq 50000

Knowing that this year she worked for 6 months as a paleontologist, we can identify that:

P=6

So in order to calculate the minimum number of months that Huang Yi must work as a sculptor to reach her goal, we have to substitute that value of "P" into the inequality and then we must solve for "S".

Then, we get:

5500(6)+4500S \geq 50000\\\\33000+4500S \geq 50000\\\\4500S \geq 50000-33000\\\\4500S\geq 17000\\\\S\geq \frac{17000}{4500}\\\\S\geq 3.77

Therefore, we can conclude <em>that minimum whole number of months that she must work as a sculptor to reach her goal is:</em>

<em> 4\ months</em>

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