Answer:
10.50x ≤ 205
The maximum number of tickets, x, would be 19.
Explanation:
Given,
The cost of one ticket = $ 10.50,
The cost of x tickets = 10.50x dollars,
Since, the total cost can not exceed $ 205,
⇒ 10.50x ≤ 205
∵ 10.50 > 0 thus, when we multiply both sides by 1/10.50 the inequality sign will not change,
⇒ x ≤ ≈ 19.52
Hence, the maximum number of tickets would be 19.