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

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.