A children's birthday party at an indoor play center costs $50 to rent the space and $6.25 per child. Gina wants to spend no more than $100 on her son's fourth birthday party. Write an inequality for the number of children who can attend the birthday party, and solve the inequality.
Gina can only invite 8 children to attend her son's fourth birthday party and remain within the budget of $100 total cost. In excess of 8 will put Gina beyond budget by 6.50 per extra child.