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The witches, Yennefer, Sabrina, Triss and Tissaia, are concocting a potion and each add a different ingredient. When the potion is finished, there is 1/4 mugwort, 1/3 of crickets, 1/2 of hemlock root and 5/8 of bloodroot left. Yennefer used the most. Sabrina used the least. Triss used more than Tissaia. Who used the hemlock root?

User Eric Long
by
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1 Answer

1 vote

Answer: Triss used the hemlock root

Explanation:

Let's call the mugwort by
m, the crickets by
c, the hemlock root by
h and the bloodroot
b.

So, according to the described recipe the potion was made with:


(1)/(4) m+(1)/(3) c+(1)/(2) h+(5)/(8) b

Rewritting thids expression we have:


0.25 m+0.33 c+0.5 h+0.625 b

Ordering this numbers from the greatest to the least:


0.625 b>0.5 h>0.33 c>0.25 m

In addition, we are told Yennefer used the most. Sabrina used the least. Triss used more than Tissaia. This can be written as:


Yennefer>Triss>Tissaia>Sabrina

Hence, Yennerfer used the bloodroot, Triss used the hemlock root, Tissaia used the crickets and Sabrina used the mugwort.

User Ervin Ter
by
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