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Susan has two jobs and can work no more than 28 total hours per week. If she earns $8.50 per hour as a cashier and $10.00 per hour as a florist and she needs to earn at least $160 for the week, how many hours does she need to work at each job?

Write a system of inequalities that could represent this situation.

Answer :

The system of inequalities is,

The total hours will be X+Y≤4.

The total amount she can earn 8.5X + 10Y ≤ 22.85.

First let us assume that she work 7 days in the week.

If she works for 28 hours a week, Then the hours of work done by her in a day will be,

28hours/7days

Per day working hours are 4 hours per day.

now, if she has to earn at least 160$ a week. Then, the amount she has to earn in one day will be 160$/7days,

Amount needed to be earned in one day is 22.85$,

Now, if she work for X hours as cashier, then she can work Y hours as florist.

The total hours for which she can can be represented by,

X+Y≤4

The amount she will earn in one day can be represented by the inequality,

8.5X + 10Y ≤ 22.85.

To know more about Linear Inequalities, visit,

https://brainly.com/question/24372553

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