Solve Circuit Problem: 2 Ways to Wire 450 Ohm Resistors for 300 Ohms

[Nivlac2425]

Homework Statement

You have a number of identical 450 ohm resistors. There are two ways in which six of these resistors can be wired to give an equivalent resistance of 300 ohms. What are they?

Homework Equations

The Attempt at a Solution

This problem only deals with simple series and parallel circuits.

Is there a way to figure this problem out without trial-and-error drawing out the circuits?
Drawing out and testing the circuits would take too long; mathematically doing it would be easier. But in what way can that be done?

Thanks everyone for helping out!

 

[yoniwei]

Rt = 1/R (x) + R (6-x) let x represent the number of 450 ohm resistors connected in parallel and let y represent the number of resistors connected in series.

should be simple enough algebra?