We are just in the beginning phases of learning how to simplify circuits by finding equivalent resistance. I've gotten every problem right except for this one. The answer says its 2000 ohms, but I keep getting 1200 Ohms. My method was by combining the 480 and 320 Ohm resistors, and then doing the math to combine them with the 1200 ohm resistor. Then added 720, as it was in series at that point.
Any pair of resistors that share two nodes are in parallel.
720 ohms isn't in series with 1200, it's in parallel.
Combination of 320 and 480, are in parallel with 720 and 1200 as well.
320 and 480 are in series - the resistances add up to 800
720, 1200 and 800 are in parallel.
The answer is wrong however, the combined resistance of parallel resistors is smaller than the smallest resistor, so it should be smaller than 720. The real answer should be 288.