# The Ultimate Battle – Episode 6 – A difficult situation

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• 12

MarisR

groupint.travian.com

• 12 students in total

Tjernobyl - TT Qualification group INT

• answer: There were 12 students in the medical school.

server: COM5

name: yellowfruit

• 8 at the beginning, 9 with the "extra" student

• x-1 = y+1

x+1 = 2(y-1)

after solved this system find number of students = 12

12 students were in medical school

• x-1 = y+1

x+1 = 2(y-1)

after solved this system find number of students = 12

12 students were in medical school

nick : Yurs

server : com5

• At the end, the herbal teacher had 6 students and the mineral had 3 for a total of nine. In the beginning, the herbal teacher had 5 and the mineral had 3. When one moved over, they both had four. When one moved back and a new one joined, the herbal teacher went to 6.

Syllabus, TT Qual

Elephant Hunter

• nickname: Pixie

server: ts4.travian.com

answer: 6 total students were learning at the medical school

• lordlinux

anglosphere 1

Originally 8 students (5, 3), after new student joined (last part), 9 in total (6 + 3)

• "After that, another student decided to join the 'herb' classes..."

It doesn`t say another student from the 'mineral' group decided to join the'herb' classes,

So we will have to consider it as a new student, which wasn`t part of either 'mineral' classes or 'herb' classes.

Then, for:

x = nr. of students in 'herb' group

y = nr. of students in 'mineral' group

We have:

x-1 = y+1

x+1 = 2*y

Solution:

x = 5 students, y = 3 students, there is a total of 3 + 5 = 8 students

nickname: DonR

server: https://ts80.travian.com

• There are 9 students in the medical school.

I am playing on

## TT Qualification 2019 Group INT!

best regards,

MB

• Please disregard my previous post

There are 2 students in the medical school.

I am playing on

## TT Qualification 2019 Group INT!

best regards,

MB

•  Herbs Minerals Start 5 3 Change 1 4 4 Change 2 5 3 Change 3 6 3

Not sure if you asked the beginning number of students or the ending number. So I stated both.

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• There are 12 students in the school.

World: Nl3; Name: Patattenzak

• There are 12 students in the school.

World: comx; Name: Patattenzak

• So, let's note x as the number of students in the herb group and y as the number of students in the minerals group.

Expression 1: One day a student from of the 'herb' group decided to join the 'mineral' group and after it happened, both teachers had the exact same number of students.

This can be regarded as: x - 1 = y + 1 or equivalently x = y + 2

Expression 2: A few weeks later, the same student decided to go back to his previous teacher, and now things changed back to the way they were before. After that, another 'mineral' student decided to join the 'herb' classes, and at that point the first group became twice as big as the second group.

This time they speak about "groups" and not "number of students". Hence, they consider the teacher in the count as well (we have to sum 1 to the number of students).

This expression then is equivalent to:

x + 1 + 1 = 2(y - 1 + 1)

and also to

x = 2y - 2

Joining both expressions by x we obtain:

2y - 2 = y + 2 ===> y = 4 ==> x = 6

Answer: 10 students were learning at the medical school and initially they were split into 6 (herb group) and 4 (minerals group).

My name is Anubis,

from the International Classification Group.