An event planner is planning a party. It costs the event planner a onetime fee of $35 to rent the venue and $10.25 per attendee. The event planner has a budget of $200. What is the greatest number of attendees possible without exceeding the budget?

Explanation

We are given:Fixed cost (venue rental) = $35Cost per attendee = $10.25Total budget = $200Let the number of attendees be x.Step 1: Set up the inequalityTotal cost = 35 + 10.25×x We want: 35 + 10.25x ≤ 200Step 2: Solve for xSubtract 35 from both sides:10.25x ≤ 165Now divide both sides by 10.25:x ≤ 165 ÷ 10.25 x ≤ 16.09Step 3: Round down to the nearest whole numberSince the number of attendees must be a whole number: Final Answer: 16 attendees