|←||It All Adds Up||Black and White Balls||N/A (Last Puzzle)|
There is a square that's completely filled with black and white balls. As you can see, however, only two corners of the square are visible. The rest of the square is not to scale and all the balls are not shown.
The outer edge all the way around is only black balls--36 in total. The rest are white, and there are no empty spaces.
So, how many white balls are there? The image below is just for illustrative purposes, so don't rely on it to solve the puzzle.
There are 36 black balls around the outside edge, so each side must be composed of nine black balls...right?
Actually, that's not right. Think carefully about it, and try again.
On the ball!
There are 64 white balls inside the square. The 36 black balls forming the outer edge mean that each row, both vertically and horizontally, is 10 balls long.
The total number of balls in the square, then, is 10 x 10 = 100. Subtract 36 black balls from the 100 total balls, and you have the total number of white balls: 100 - 36 = 64!
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A big thanks to http://professorlayton3walkthrough.blogspot.com