Question

Raj has a boat with a maximum weight capacity of $2700$ kg. He wants to take as many of his friends as possible. The average weight of each friend is considered to be $70$ kg. Then the maximum number of persons that can travel in the boat if $2$ VIP persons weighing $98$ kg and $86$ kg have to travel compulsorily is

• A. $35$
• B. $37$
• C. $42$
• D. $40$

Answer 1

The correct option is B $37$

The inequality can be written as
$70n+98+86\le 2700,$
where $n$ is the number of persons other than two VIPs.
$70n+98+86\le 2700$
$\Rightarrow 70n\le 2516$
$\Rightarrow n\le 35.94$
Since weight can't exceed $2700$ kg and $n\in W,$
$\Rightarrow n=35$
Total persons are $n+2=37$