The Sweetwater High School project graduation committee is hosting a dinner and dance fundraiser at the Sweetwater 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.
Let's assume the number of couples attending the fundraiser is represented by the variable "x".
The amount raised from ticket sales can be calculated by multiplying the number of couples by the ticket price, which is $75.00 per couple. So, the total amount raised from ticket sales is 75x.
Additionally, the committee has to pay a $375 fee for renting the community center.
To determine the minimum number of tickets they need to sell to reach their goal of $7500, we can create the following inequality:
75x - 375 ≥ 7500
To solve this inequality, we first add 375 to both sides:
75x - 375 + 375 ≥ 7500 + 375
This simplifies to:
75x ≥ 7875
Finally, we divide both sides by 75:
75x/75 ≥ 7875/75
This simplifies to:
x ≥ 105
Therefore, the minimum number of couples they need to sell tickets to is 105.