A traditional checkerboard has 64 squares, half of which are red and half are black. Each person begins the game with twelve checkers. Your checkers begin on the 12 black squares on your side of the board while your opponent’s checkers begin on the 12 black squares on his side of the board. Within the first 11 moves, you lose three checkers and your opponent loses only one. After the eleventh move, what percent of the black squares are now occupied by checkers?
24..............100%
20 ................x%
x=83,33%
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Initially, there are 64/2=32 black squares, and 12+12=24 checkers, so 24/32*100=75% of black squares are occupied by checkers. Within the 11th move, four checkers have been lost, so only 24-4=20 checkers left on the checkerboard. That means 20/32*100=62.5% of black squares are occupied by checkers after the 11th move.
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