Question

Skateland charges a $50 flat fee for birthday party rental and $5.50 for each person. Joann has no more than $100 to spend on the birthday party.

Write an inequality that represents Joann's situation.

How many people can Joann invite to her birthday party without exceeding her limit?

Answer 1

Let's denote the number of people Joann can invite as x.

The total cost of the party, including the flat fee and the cost per person, is given by the formula: Total cost = $50 + $5.50x

Joann has no more than $100 to spend, so we can write the inequality:

$50 + $5.50x ≤ $100

Solving for x:
$5.50x ≤ $50
x ≤ 9.09

Since we cannot invite a fraction of a person, Joann can invite a maximum of 9 people to her birthday party without exceeding her limit.