Question

Raj has a boat with a maximum weight capacity of $2700$ kg. He wants to take as many of his friends as possible. If the average weight of each friend considered to be $70$ kg.
If a new system is added in the boat that increases the weight capacity of boat upto $150$ kg. But requires specific person of weight $90$ kg to use it. Then the maximum number of persons that can travel in the boat is

Answer 1

The inequality can be written as
$70n+90\le 2700+150$
$\Rightarrow 70n\le 2760$
$\Rightarrow n\le 39.42$
Since weight can't exceed the limit and $n\in W$
$\Rightarrow n=39$
Total persons are $n+1=40$