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.

1 answer

Let's assume the number of children who attend the birthday party is "x". The total cost will be $50 for renting the space plus $6.25 per child:
Total cost = $50 + $6.25x

The inequality for the number of children who can attend the birthday party is:
$50 + $6.25x ≤ $100

To solve the inequality, we need to isolate the variable x:
$6.25x ≤ $50
Divide both sides of the inequality by $6.25:
x ≤ $50 / $6.25
x ≤ 8

Therefore, Gina can have a maximum of 8 children attend her son's fourth birthday party in order to spend no more than $100.