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Let x be the number of children who can attend the birthday party.
The inequality for the number of children who can attend the birthday party is:
6.25x + 50 ≤ 100
Subtract 50 from both sides of the inequality:
6.25x ≤ 50
Divide both sides of the inequality by 6.25:
x ≤ 8
Therefore, Gina can invite no more than 8 children to her son's fourth birthday party.