Electric circuit problem, finding current through a resistor

[physics604]

1. The diagram attached shows part of an electric circuit. What is the current through resistor R₁?

To summarize:
I=6.0 A
R₁ = 11.0 Ω
R₂ = 33.0 Ω
R₃ = 67.0 Ω

R₂ and R₃ are in parallel, and R₁ and R_{2 and 3} are in parallel.

I know we aren't supposed to attach pictures of questions, but a diagram does make my question a lot easier to understand.

Homework Equations

V=IR
I_{T in series} = I₁=I₂=I₃
I_{T in parallel} = I₁+I₂+I₃
R_{T in series} = R₁+R₂+R₃
R_{T in parallel} = [(1/R₁)+(1/R₂)+(1/R₃)]^-1

The Attempt at a Solution

Using the resistor laws, I can find resistance of R_{2 and 3} by (1/33+1/67)^-1.

Using Kirchoff's Laws, I know that the resistance coming out has to equal the 6.0 A.

But I don't get how all this information is relevant. The question doesn't give me voltage or any other information and I don't know how to figure out how much current goes through each resistor.

 

[barryj]

Notice that ALL of the resistors are in parallel. Find the voltage across all of them, then find the current through each one.

 

[gneill]

What's the net resistance of the circuit?