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Student Council is selling tickets to the Winter Dance. Tickets cost $5 per person or $8 per couple. To cover expenses, at least $1200 worth of tickets must be sold. No more than 500 students can fit in the gym where the dance is being held.


Let x = number of $5 tickets

Let y = number of $8 tickets

In rows 5 and 6, write a system of inequalities to represent this situation.

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Answer:

5x + 8y ≥ 1200

x + 2y ≤ 500

Step-by-step explanation:

Let x = number of $5 tickets

Let y = number of $8 tickets

Worth of ticket that must be sold = at least $1200

No more than 500 students can fit in the gym

Ticket worth equation :

Cost * number of tickets ≥ 1200

5x + 8y ≥ 1200

Number of students :

Person = 1

Couple = 2

x + 2(y) ≤ 500

x + 2y ≤ 500

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