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Problema Solution

Luna works in a supermarket for x hours a week after school at a job that pay $4 an hour.She accepted a job that pays $8 an hour as a fast food cashier working y hours a week. She will work both jobs.She is able to work no more than 15 hours a week.Luna wants 80 dollars a week with both job combinations .Write a system of inequalities to represent the situation.

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Answer provided by our tutors

The total hours that Luna can work is no more than 15:

x + y <= 15

Luna wants 80 dollars a week means:

4x + 8y = 80 divide both sides by 4

x + 2y = 20

The inequalities and equation that represent the situation are:

x >=0

y >= 0

x + y <=15

x + 2y = 20