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Farmer came back from the market having sold all his turnips.
''How many did you sell ?'' asked his wife.
''Can't remember how many I took, but I do remember that in the first hour I sold 6/7 of the turnips + 1/7 of a turnip.''
''Must have been tricky cutting them up'' said his wife.
''No'' he replied,'' it was a whole number I sold, I never cut any''
''Then what ?'' she asked.
''I sold 6/7 of what was left, plus 1/7 of a turnip in the second hour. Then I sold 6/7 of what was left plus 1/7 of a turnip in the third hour. And finally I sold 6/7 of what was left, plus 1/7 of a turnip, in the fourth hour then I came home.''
''Why ?''
''Cos I'd sold the lot''
How many turnips did he take to the market ?
''How many did you sell ?'' asked his wife.
''Can't remember how many I took, but I do remember that in the first hour I sold 6/7 of the turnips + 1/7 of a turnip.''
''Must have been tricky cutting them up'' said his wife.
''No'' he replied,'' it was a whole number I sold, I never cut any''
''Then what ?'' she asked.
''I sold 6/7 of what was left, plus 1/7 of a turnip in the second hour. Then I sold 6/7 of what was left plus 1/7 of a turnip in the third hour. And finally I sold 6/7 of what was left, plus 1/7 of a turnip, in the fourth hour then I came home.''
''Why ?''
''Cos I'd sold the lot''
How many turnips did he take to the market ?
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I made it 1,372... think i may have gone wrong somewhere...
Answer is none....he was mistaken...they were parsnips.
As in most puzzles that highlight the excellence of turnip mitochondrial fractions, I suspect the answer is 1
no, sheriff has it right it is 400 - i forgot the 4th hour....
start with T turnips
after 1st hour, have T/7 - 1/7 left
after 2nd hour, have 1/7 (T/7 - 1/7) - 1/7 = T/49 - 1/49 - 1/7 = T/49 - 8/49
after 3rd hour, have 1/7 (T/49 - 8/49) - 1/7 = T/343 - 8/343 - 1/7 = T/343 - 57/343
after 4th hour, have 1/7 (T/343 - 57/343) - 1/7 = T/2401 - 57/2401 - 1/7 = T/2401 - 400/2401
and T/2401 - 400/2401 = 0
so T = 400
well done sheriff
:)
after 1st hour, have T/7 - 1/7 left
after 2nd hour, have 1/7 (T/7 - 1/7) - 1/7 = T/49 - 1/49 - 1/7 = T/49 - 8/49
after 3rd hour, have 1/7 (T/49 - 8/49) - 1/7 = T/343 - 8/343 - 1/7 = T/343 - 57/343
after 4th hour, have 1/7 (T/343 - 57/343) - 1/7 = T/2401 - 57/2401 - 1/7 = T/2401 - 400/2401
and T/2401 - 400/2401 = 0
so T = 400
well done sheriff
:)
how can you sell one seventh of a turnip without cutting it up
and why is this farmer coming up with riddles when his wife asks him questions. why didn't he just say 400.
You wouldn't catch Don Bradman making up riddles. He'd come straight out and say what he meant.
and why is this farmer coming up with riddles when his wife asks him questions. why didn't he just say 400.
You wouldn't catch Don Bradman making up riddles. He'd come straight out and say what he meant.
the answer is 21
so easy
and I didn't know this puzzle beforehand
so easy
and I didn't know this puzzle beforehand
unless his assistant cut the turnip
and then the answer would be 1
and then the answer would be 1
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