Achildren'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.

Write an algebraic equation to solve this problem.

Here budget is $100 so that is what the equation must less than or equal to.

 = 100

It cost $50 to rent the space, add that on the left side of the equation

50 = 100

And $6.25 per child, this will be our variable or x

6.25x + 50 <= 100

Then, solve.

6.25x + 50 <= 100

Subtract 50

6.25x <= 50

Divide by 6.25

x <= 8

In conclusion, 8 or less people can attend the party that Gina is planning.