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Struggling to solve the Blue Prince Dartboard Puzzle? Draft a Billiard Room in Mt. Holly and you’ll be presented with a confusing puzzle centered around the dartboard at the back of the room. A closer look shows that the numbers on the radial circles are different to those found on real-world dartboards. There are also curious colours that pop up as you click on numbers.
If you’re thinking there’s some sort of mathematical structure underpinning how the dartboard reacts to your clicks, you’d be right. In this guide, we’ll walk you through how to solve the Blue Prince Dartboard Puzzle. For more general advice on solving the Mt. Holly mystery, check out our Blue Prince tips and tricks.
How to solve the Blue Prince Billiard Room puzzle
Before we dive into how to solve the Dartboard Puzzle, scouting other rooms will produce all the clues you need to figure out the solution, which changes every time you visit the room. Here are the documents and clues you’re looking for:
- Note on the desk in the Guest Bedroom. It explains that the puzzle is mathematical and doesn’t require any knowledge of the rules of darts to solve.
- On either side of the dartboard are blackboards with mathematical symbols +, -, ×, ÷.
- A Journey Noteworthy card in the Nook. Use a magnifying glass on the small image of a notebook in the bottom right to reveal the rules of the puzzle colours.
Every colour that appears on the dartboard refers to a mathematical operation, as follows:
- Blue – addition
- Yellow – subtraction
- Pink – multiplication
- Purple – division
Furthermore, all colour operations start from the radial closest to the bullseye and work their way to the outer circles. In practice, this means, you’ll always start with addition, move on to subtraction, then multiplication, and finally division, if the colours appear. One final rule is that there you must not use the mathematical order of operations, e.g. parentheses and brackets, to calculate the answer.
To illustrate this in action, we’ll take the puzzle permutation in the images above:
- To start, we have 13 along with the color blue so we simply need to click on 13.
- Next, we see 18 blue and 10 yellow, so we want to calculate 18-10=8.
- After that, we have 5 blue and 4 pink, which means 5×4=20.
- Next is 16 blue and 2 purple, so 16÷2=8.
- Lastly, we see 6 blue, 3 yellow , 5 pink , and 15 purple. The calculation is 6-3×5÷15=1
Click the correct answers for all five operations and the dart board will lift up, revealing a nook containing two keys. Once you’ve got the hang of it, solving the Blue Prince Dartboard Puzzle is relatively straightforward much like the Parlor Game puzzle. It might be worth having a notepad at hand to make the calculations easier. If you fancy a challenger, there’s also the Bullseye Trophy to unlock by solving 40 Dartboard Puzzles.