Question

A group of ‘n' friends decided to rent a condominium for a one week vacation in Florida. They decided to share the weekly rent of ‘m' dollars equally. If due to an unanticipated reason two members of the group couldn't make the trip, and the rest of the friends decided not to charge the two who pulled out for the rent; what will be the additional amount each of the remaining friends must pay for renting the condominium?

Answer 1

2m / n² - 2n

Explanation:

Given that:

Number of friends = n

Weekly rent = $m

To share rent fee equally :

Each friend will pay : $m / n

If 2 of the friend couldn't make the trip:

Additional amount to be shared by the others = 2(m/n) = 2m/n

Hence additional fee per friend who eventually made the trip:

Additional amount to be shared / number of friend who eventually made the trip

= (2m/n) ÷ (n - 2)

= 2m / n * 1 / n - 2

= 2m / n(n-2)

= 2m / n² - 2n