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If a third of the blueberry crop was ruined by a sudden frost A sixth of the undamaged blueberries spoiled on the way to the market How much of the original blueberry crop made it to the market you?
TeresaS
Five ninths remains.
If 1/3 of the crop is destroyed, 2/3 remains. If 1/6 of THAT is destroyed, then 5/6 of the 2/3 now remain. To figure the final amount, multiply X (a placeholder for the amount of the original crop) by 2/3, and then again by 5/6. Answer is 10/18 X, reduces to 5/9 X, or 55.56%.
X * 2/3 * 5/6 = 10/18 X = 5/9 X = 55.56% of X
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