Combining clues
Most puzzles give you more than one clue. Each clue on its own fits many words; the answer is the one word that fits all of them at once.
Clue 1: CRATE
R, A and E are green, giving _ R A _ E. C and T are gray. Among common five-letter words, 10 fit this clue on its own: BRAKE, BRAVE, DRAKE, DRAPE, ERASE, FRAME, GRADE, GRAPE, GRAVE, GRAZE.
Clue 2: GRIPE
G is green, so the answer starts with G. P is green in fourth place. I is gray. That pins the pattern to G R A P E, and only 1 common word survives both clues: GRAPE.
Clue 3: DRAPE
The third clue confirms it: D is gray and the rest of DRAPE lines up with the pattern. The answer is GRAPE.
The general method
- Merge the greens. Different clues often fix different positions. Write all of them into one pattern.
- Merge the yellows. Collect every letter that must appear, and every position it's banned from. A letter that's yellow in two clues is banned from both positions.
- Merge the grays. Combine them into one list of excluded letters, minding repeats.
- Fill and test. With the pattern, the required letters and the banned letters, there are usually only a handful of words to try. Check each one against every clue.
Notice that clue 2 did most of the work here, even though clue 1 has more greens. A clue's value depends on what it adds to what you already know. When you're stuck, look for the clue you've used least.