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.

Respuesta :

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.

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