Question

The Sweet water High School Project Graduation committee is hosting a dinner-and-dance fundraiser at the Sweet water Community Center. The committee hopes to raise at least $7500 with this event. Tickets for the fundraiser are $75.00 per couple, and they have to pay a $375 fee for renting the community center. Write and solve an inequality to determine the minimum number of tickets they need to sell to reach their goal.

Answer 1

Answer:

At least 105 tickets must be sold for there to be a 7500 dollar profit

Step-by-step explanation:

Let c = number of couple tickets

ticket sales - costs = profits

We want profits greater than 7500

75c - 375 ≥ 7500

Add 375 from each side

75c-375+375 ≥ 7500 +375

75c ≥ 7875

Divide each side by 75

75c/75 ≥ 7875/75

c ≥ 105

At least 105 tickets must be sold for there to be a 7500 dollar profit