In Rio de Janeiro, Brazil, there are four times as many Malkavians as there are Tremere, and twice as many Tremere as there are Gangrels. There are 110 vampires in all. How many of each type of vampire reside in Rio?


The basic equation for this problem is the following:



All that remains is to set up equalities between the Gangrels, Tremere and Malkavians. It is given in the problem that there are twice as many Tremere as there are Gangrels, so for each Gangrel there must be two Tremere. It is also given that there are four times as many Malkavians as there are Tremere, so for every one Tremere, there are four Malkavians OR for every one Gangrel, there must be eight Malkavians.

Substituting these equalities back into the equation:



Brazilians might not know it, but they are host to 10 Gangrel vampires, 20 Tremeres, and 80 Malkavians.