A skating rink charges $80 for a birthday party rental plus $12.50 per guest. A family is planning a birthday party at the rink, and they cannot exceed a budget of $200. What is the maximum number of guests they can invite?
8 guests
11 guests
9 guests
10 guests
Let x be the number of guests the family can invite.
The total cost of the party is $80 + $12.50x.
The maximum number of guests they can invite is the value of x that satisfies the equation:
$80 + $12.50x ≤ $200
Subtracting $80 from both sides of the equation, we get:
$12.50x ≤ $120
Dividing both sides of the equation by $12.50, we get:
x ≤ 9.6
The maximum number of guests they can invite is 9 since they cannot invite a fractional number of guests.
Therefore, the answer is 9 guests.