Answer:
91 people take Russian
26 people take French and Russian but not German
Step-by-step explanation:
To solve this problem, we must build the Venn's Diagram of this set.
I am going to say that:
-The set A represents the students that take French.
-The set B represents the students that take German
-The set C represents the students that take Russian.
We have that:

In which a is the number of students that take only Franch, A \cap B is the number of students that take both French and German , A \cap C is the number of students that take both French and Russian and A \cap B \cap C is the number of students that take French, German and Russian.
By the same logic, we have:


This diagram has the following subsets:

There are 155 people in my school. This means that:

The problem states that:
90 take Franch, so:

83 take German, so:

22 take French, Russian, and German, so:

42 take French and German, so:

41 take German and Russian, so:

22 take French as their only foreign language, so:

Solution:
(1) How many take Russian?



First we need to find
, that is the number of students that take French and Russian but not German. For this, we have to go to the following equation:


.

----------------------------
The number of students that take Russian is:


------------------------------
Now we have to find c, that we can find in the equation that sums all the subsets:




For this, we have to find b, that is the number of students that take only German. Then we go to this eqaution:





-------



The number of people that take Russian is:



91 people take Russian
(2) How many take French and Russian but not German?

26 people take French and Russian but not German