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.

Responses

A 50 + 6.25x ≤ 100; x ≤ 850 + 6.25 x ≤ 100; x ≤ 8

B 50 + 6.25x ≥ 100; x ≥ 850 + 6.25 x ≥ 100; x ≥ 8

C 50 + 6.25x < 100; x < 850 + 6.25 x < 100; x < 8

D 50 + 6.25x > 100; x > 8

The correct inequality is A: 50 + 6.25x ≤ 100; x ≤ 8

To solve the inequality:
50 + 6.25x ≤ 100
6.25x ≤ 50
x ≤ 50 / 6.25
x ≤ 8

Therefore, the number of children who can attend the birthday party should be 8 or less in order for Gina to spend no more than $100.