Question

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?

Answer 1

Answer: Triss used the hemlock root

Step-by-step 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:

$\frac{1}{4} m+\frac{1}{3} c+\frac{1}{2} h+\frac{5}{8} b$

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.