An event planner is planning a party. It costs the event planner a onetime fee of $ 35 to rent

Question

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 $ 300 . What is the greatest number of attendees possible without exceeding the budget?

Accepted Answer

The correct answer is 25 . The total cost of the party is found by adding the onetime fee of the venue to the cost per attendee times the number of attendees. Let x be the number of attendees. The expression 35 + 10.25 x thus represents the total cost of the party. It's given that the budget is $ 300 , so this situation can be represented by the inequality 35 + 10.25 x &le; 300 . Subtracting 35 from both sides of this inequality gives 10.25 x &le; 265 . Dividing both sides of this inequality by 10.25 results in approximately x &le; 25.854 . Since the question is stated in terms of attendees, rounding 25.854 down to the greatest whole number gives the greatest number of attendees possible, which is 25 .

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