During a checkers game, there are 16 pieces left. The ratio of black to red is 3:5. How many black pieces are on the board.

3+5 = 8

3/8 = black / total
5/8 = red / total
so
(3/8)16 = black
which is about 6
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check
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red = (5/8) 16 = 10
sure enough 6 + 10 = 16
black / red = 6/10 = 3/5 whew!