Question

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.
A)
50 + 6.25x ≤ 100; x ≤ 8


B)
50 + 6.25x ≥ 100; x ≥ 8


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


D)
50 + 6.25x > 100; x > 8

Answer 1

A.) 50 + 6.25x ≤ 100; x ≤ 8

There is a flat rate of $50 and 6.25 per child. This would be written as 50 + 6.25x . It has to be less than or equal to $100, since the directions state that you cannot pay more than $100. 

Then you would solve the inequality. 

Subtract 50 from both sides so the inequality looks like this: 

6.25x ≤ 50

Then, divide 6.25 from 50. You should get x≤8.