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.
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.
The inequality for the number of children who can attend the birthday party is 6.25x + 50≤ 100
Based on the information given, the inequality that can be used to solve the question will be:
6.25x + 50≤ 100
Collect like terms
6.25x + 50 ≤ 100
6.25x≤ 100 - 50
6.25x ≤ 50
Divide both sides by 6.25
6.25x/6.25≤ 50/6.25
x ≤ 8
Therefore, the number of children that can attend the party will not be more than 8.
Read related link on:
https://brainly.com/question/2272081