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The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $5 and each adult ticket sells for $9.50. The auditorium can hold a maximum of 130 people. The drama club must make at least $950 from ticket sales to cover the show's costs. If xx represents the number of student tickets sold and yy represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.

Answer :

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Answer:

5 x+ 9.50 y = 950, x= 38, y = 80

Step-by-step explanation:

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One possible solution of the inequalities will be (20, 100).

Formation of inequalities and their solution,

  • To form an inequality choose the variables.
  • Point lying in the common region of the inequalities will be the solution of the inequalities.

Given in the question,

  • Cost of student ticket = $5 each
  • Cost of adult ticket = $9.5 each

Let the number of student tickets sold = x

And the number of adult tickets sold = y

First statement states," Auditorium can hold a maximum of 130 people".

Inequality for the statement will be,

x + y ≤ 130 --------(1)

Second statement states, "The drama club must make at least $950 from the tickets sale to cover the show's cost".

Inequality for the statement will be,

5x + 9.5y ≥ 950 ------ (2)

Now use the utility to graph the inequality,

Since, a point (20, 100) lies in the common region (solution area) of the inequalities,

       Therefore, one possible solution will be (20, 100).

Learn more about the solution of inequalities here,

https://brainly.com/question/16339562?referrer=searchResults

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