Question

Patricia and Joe Kuby are celebrating their 75th wedding anniversary by having a party at the Diplomat Party House. They have budgeted $1200 for the party. If the party house charges a flat rate of $200 for set-up and clean-up, plus $20 per person, determine the maximum number of guests the Kuby can invite and remain within their budget.

a) 40
b) 50
c) 60
d) 70

Answer 1

To determine the maximum number of guests the Kubys can invite and remain within their budget, we need to calculate the cost of the party for different numbers of guests and find where it exceeds their budget of $1200. The maximum number of guests the Kubys can invite and remain within their budget is 50.

Step-by-step explanation:

To determine the maximum number of guests the Kubys can invite and remain within their budget, we need to calculate the cost of the party for different numbers of guests and find where it exceeds their budget of $1200.

The cost of the party consists of a flat rate of $200 for set-up and clean-up, plus $20 per person. Let's assume the maximum number of guests to be x. Therefore, the cost of the party can be represented as:

Cost = $200 + $20x

We need to find the value of x that satisfies the inequality: $200 + $20x ≤ $1200.

Simplifying the inequality and solving for x, we get:

$20x ≤ $1000

x ≤ 50

Therefore, the maximum number of guests the Kubys can invite and remain within their budget is 50. So, option b) 50 is the correct answer.