Part 1
The cost of a barbecue lunch per 3 people = $18.45
Mr Gaines has a budget of $1850.00
The question wants us to find the number of people that can be fed with his budget.
Part 2
The essential information needed is to find the cost of feeding 1 person.
If the cost of feeding 3 people = $18.45
Cost of feeding 1 person =$18.45/3 =$6.15
Let the number of people that can be fed on his budget =x
Therefore:
![x=(1850)/(6.15)](https://img.qammunity.org/2023/formulas/mathematics/college/r5pzkic135aq6lexffxye1t476ex8qpwq6.png)
Part 3
![x=300.8](https://img.qammunity.org/2023/formulas/mathematics/college/x6d0alan1ww2iix0r1eu2nvqgis0g347nj.png)
The number of people he can afford to feed will be 300.
Part 4
Although 300.8 approximates to 301
301 x 6.15 =$1851.15
300 x 6.15 =$1845
He cannot exceed his budget, so 300 is the correct solution.