How to Calculate Total Power Factor in a Parallel AC Circuit?

[Cocoleia]

Homework Statement

I am given this circuit:

One of the questions is to find the total power factor of this installation. The other questions involving current and such, I have solved.

Homework Equations

The Attempt at a Solution

I am able to find the power of each Z1 and Z2, by multiplying the value given by the pf.
I am wondering how to combine power factors? Do I just add them for the total, or does it make a difference since they are in parallel? How does this work.

Thanks.

 

[cnh1995]

What's 'avance'?

I am able to find the power of each Z1 and Z2, by multiplying the value given by the pf.

Which power? Do you get it by multiplying the given power by the pf?

I am wondering how to combine power factors?

Have you studied power triangle in ac circuits? What is the total active and total reactive power in this circuit?