Answer:
The system of inequalities is:
x + y ≥ 5
17.5x + 32y ≤ 250
Explanation:
Shauna wants to buy tickets for at least 5 games. Let’s assume she buys x tickets for afternoon games and y tickets for evening games.
The cost of each ticket for an afternoon game is $17.50, and the cost of each ticket for an evening game is $32. Therefore, the total cost of the tickets can be expressed as:
17.50x + 32y
Shauna wants to spend no more than $250. Therefore, we can write the following inequality:
17.50x + 32y ≤ 250
Since Shauna wants to buy tickets for at least 5 games, we can write the following inequality:
x + y ≥ 5
Therefore, the system of inequalities that Shauna can use to find the number of tickets she can buy is:
17.50x + 32y ≤ 250
x + y ≥ 5