Answer:
8t + 5 ≤ 40
The greatest number of tickets you can buy is 4.
Explanation:
t = number of tickets
The cost of each ticket is $8.
t tickets cost 8 × t dollars, or 8t.
In addition to the cost of 8t for the tickets, ther is the base fee of $5. That fee is per reservation, not per ticket. The total cost of t tickets and the reservation is 8t + 5.
You have at most $40, so you must make sure the total amount you spend, 8t + 5, is less than or equal to 40.
The inequality is:
8t + 5 ≤ 40
To solve, first subtract 5 from both sides.
8t ≤ 35
Divide both sides by 8.
t ≤ 4.375
The number of tickets you buy must be a whole number, so we round off 4.375 to the nearest lower whole number, 4.
t can be 0, 1, 2, 3, 4
The greatest number of tickets you can buy is 4.
Answer: 4