Question

1. A movie theater charges a flat fee of $8 per ticket with an additional base fee of $5 for

seat reservations. You want to determine the maximum number of tickets you can buy
with a budget of $40. Write and solve an inequality to find the maximum number of
tickets. Let t represent the number of tickets purchased. Solve the inequality written. Please I need help

Answer 1

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