Question

Why is the answer B? Plz explain.

Answer 1

m people each pay n dollars for a total rental of mn dollars.

If m^2 people share the cottage, then each one will pay

total/no. of people

=mn/m^2 = n/m dollars each, assuming there is no supplement for additional peole, as many hotels do.

Answer 2

You know that each person's share is
`n` dollars, and there are
`m` people in total.

So, if each of the
`m` people pays
`n` dollars, the total rent is
`mn` dollars.

For example, if you know that 7 people share the rent, and each of them pays 5 dollars, then the total rent is
`7\cdot 5 = 35` dollars.

So, if the total of
`mn` dollars is shared between
`m^2` people, each of them will pay

`\cfrac{mn}{m^2} = \cfrac{n}{m} \text{ dollars}`