Answer:
300 people.
Step-by-step explanation:
We can represent this question in the following equation, wherein x represents the cost, per person, and y represents the total amount of people:
3x=18.45
1850/x=y
We can find exactly how much he'd be paying for 1 person by dividing $18.45, the cost for 3 people, by 3, the amount of people.
18.45/3=6.15
Now we know that barbecue lunch costs $6.15 per person. We can plug our x, 6.15, into the second equation.
1850/6.15=300.81300813
Well, we can't exactly have a fraction (.81300813) of a person, so we'll have to make a small correction. We'll round down to the nearest whole number.
y=300
With that, we can conclude that Mr. Gaines can feed 300 people, whose meals cost $6.15 each, and by the end he'll still have $5 to spare!