OG详解-OG10 数学1 Q7

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+ 10.25x 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+10.25x≤300. Subtracting 35 from both sides of this inequality gives 10.25x≤265. Dividing both sides of this inequality by 10.25 results in approximately x≤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.