Witches Brew
Double, double toil and trouble,
Fire burn and cauldron bubble.
A witch was brewing a concoction for a spell. In her cauldron, she placed the following ingredients:
dishwater
castor oil
dirty snow
crushed pig's ear
sheep droppings
The dishwater was one half the cauldron volume; the castor oil one third; dirty snow was one quarter; crushed pig's ear was one fifth; and sheep droppings were one sixth.
The total volume of the second and third ingredients added was less than half of the cauldron volume. Castor oil was added later than the crushed pig's ear, but earlier than the dishwater. Dirty snow was added two places after the sheep droppings. Oops! the cauldron spilled over.
In what order were the ingredients added?
Fire burn and cauldron bubble.
A witch was brewing a concoction for a spell. In her cauldron, she placed the following ingredients:
dishwater
castor oil
dirty snow
crushed pig's ear
sheep droppings
The dishwater was one half the cauldron volume; the castor oil one third; dirty snow was one quarter; crushed pig's ear was one fifth; and sheep droppings were one sixth.
The total volume of the second and third ingredients added was less than half of the cauldron volume. Castor oil was added later than the crushed pig's ear, but earlier than the dishwater. Dirty snow was added two places after the sheep droppings. Oops! the cauldron spilled over.
In what order were the ingredients added?
posted by Zaux at
10:40 AM
4 Comments:
1 - Sheep's Droppings
2 - Crushed Pig's Ears
3 - Dirty Snow
4 - Castor Oil
5 - Dishwater
This post has been removed by a blog administrator.
Hi Antn'y ... a perfect brew ... good job
The total volume of the ingredient's is 1.45 times the cauldron's volume.
As it didn't overflow until the last ingredient was added, it must have been the dishwater that was added last. Any other order would have caused the overflow to happen for the fourth ingredient.
Using the sequence rules =>
cpe, sd, co, ds, dw
OR
sd, cpe, ds, co, dw
But the 2nd and 3rd ingredients had a volume less than 1/2. Vsd + Vco = 1/6 + 1/3 = 1/2, so not < 1/2
Whereas Vcpe + Vds = 1/5 + 1/4 < 1/2.
Hence Antn'y's answer.
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