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.

Question

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

Answer 1

The correct inequality would be:

50 + 6.25x ≤ 100; x ≤ 8

To solve the inequality, subtract 50 from both sides:

6.25x ≤ 50

Divide both sides by 6.25:

x ≤ 8

So the number of children who can attend the birthday party is less than or equal to 8. The correct answer is:

A) 50 + 6.25x ≤ 100; x ≤ 8