Question

Part 1) A school is selling tickets to a play. Tickets cost $12 at the door and $8.50 if purchased in advance. The school has a goal of selling at least $1050 worth of tickets to Saturday's show. Write an inequality modeling the amount of tickets sold at the door (d) and purchased in advance (a) that they must sell.

Part 2) If the school sold 36 tickets in advance, what is the minimum number of tickets that it must sell in order to make $1050?

Answer 1

• See below

Explanation:

Given:

• Tickets cost $12 at the door, number of tickets d
• Tickets cost $8.50 if purchased in advance, number of tickets a
• Minimum target from tickets sold $1050

Part 1

Required inequality to meet the goal:

• 12d + 8.5a ≥ 1050

Part 2

If a = 36 then minimum value of d:

• 12d + 36*8.5 ≥ 1050
• 12d + 306 ≥ 1050
• 12d ≥ 1050 - 306
• 12d ≥ 744
• d ≥ 744/12
• d ≥ 62

Minimum 62 tickets must sell