Question

Amy’s restaurant has budgeted at most $60 to spend this month on gourmet coffee. All international blends cost

$8.50 per package and all house blends cost $6.00 per package. She would like to purchase some international
blends and at least 3 packages of the house blends. Write a system of linear inequalities that describes this
situation. Graph the system. Give a possible solution and describe what it means

Answer 1

8.50x + 6.00y < 60 and y > 3.

Please consider the complete question.

Amy's restaurant has a budget of at most $60 to spend this month on gourmet coffee. All international blends cost $8.50 per package and all house blends cost $6.00 per package. She would like to purchase some global combinations and at least 3 boxes of the house blends. Write a system of linear inequalities that describes this situation.

Let x represent the number of international blends and y represent the number of house blends.

The cost of x international blends would be and the cost of y house blends would be.

Since Amy's restaurant has a budget of at most $60 to spend this month on gourmet coffee, so the cost of x international blends and y house blends should be less than or equal to 60.

We can represent this information in an inequality as:

Since Amelia wants to purchase at least 3 packages of the house blends, so y should be greater than or equal to 3. We can represent this information in an inequality as:

Therefore, our required system of inequalities would be 8.50x + 6.00y < 60 and y > 3.

Explanation: