Question

85% населения города А говорит на азербайджанском языке, 75% на русском.Сколько процентов населения знает оба языка

Answer 1

85+75-100=60% знают два языка

Answer 2

To find out the percentage of the population in city A that speaks both Azerbaijani and Russian, we need to use the concept of intersection in set theory. Let's assume there are 100 people in the city for easy calculations.

Let:

• A be the set of people who speak Azerbaijani (85% of the population).
• B be the set of people who speak Russian (75% of the population).

We need to find the percentage of people who belong to both sets A and B, which is the intersection of sets A and B.

To calculate the intersection, we can use the formula: Intersection (A ∩ B) = Percentage of A + Percentage of B - Percentage of (A U B)

Where: Percentage of A = 85% Percentage of B = 75%

Now, we need to find the percentage of people who speak either Azerbaijani or Russian, which is the union of sets A and B.

Percentage of (A U B) = Percentage of A + Percentage of B - Percentage of (A ∩ B) Percentage of (A U B) = 85% + 75% - 100% (Since the entire population is 100%)

Percentage of (A U B) = 160% - 100% = 60%

Now, let's calculate the percentage of people who speak both languages (A ∩ B):

Intersection (A ∩ B) = Percentage of A + Percentage of B - Percentage of (A U B) Intersection (A ∩ B) = 85% + 75% - 60% Intersection (A ∩ B) = 160% - 60% Intersection (A ∩ B) = 100%

Since the maximum percentage of people in any set cannot exceed 100%, we can conclude that 100% of the population in city A speaks both Azerbaijani and Russian.