Achildren'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.

Inequality: 50 + 6.25x < 100

50 + 6.25x < 100
-50               -50
       6.25x  <  50
     ÷6.25      ÷6.25
             x < 8

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.