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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 Kubys can invite and remain within their budget.

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Final answer:

After deducting the $200 flat rate from their $1200 budget, the Kubys have $1000 remaining to cover the cost of guests. With a charge of $20 per person, they can invite a maximum of 50 guests to stay within their budget.

Step-by-step explanation:

Patricia and Joe Kuby are planning a 75th wedding anniversary celebration at the Diplomat Party House with a budget of $1200. The party house charges a flat rate of $200 for setup and cleanup. Additionally, there is a charge of $20 per person. To calculate the maximum number of guests, we must first deduct the flat rate from the budget:

  • Total budget: $1200
  • Flat rate cost: -$200
  • Remaining budget for guests: $1200 - $200 = $1000

We then divide the remaining budget by the cost per person to find the maximum number of guests:

  • Remaining budget for guests: $1000
  • Cost per person: $20
  • Maximum number of guests: $1000 ÷ $20 = 50 guests

Therefore, the maximum number of guests that the Kubys can invite and stay within their budget is 50 guests.

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