Problema Solution

The manager of an apartment complex is also a tenant. He pays only three-fourths of the monthly rent that each of the remaining 5 tenants pays. Each month, a total of $4,140 in rent is paid by the 6 occupants. How much rent does the manager pay?

Answer provided by our tutors

Let


x = the regular rent

(3/4)*x = the managers rent


the rent that the 5 tenants pay + managers rent = total rent


5*x + (3/4)*x = 41400


By solving this equation we find


x = 7200


(3/4)*x = (3/4)*7000 = $5,250


The manager's rent is $5,250.