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In survey of 100 students in the institute of Language Studies at Addis Ababa University,
the numbers of students studying various languages were found to be English 28,
Amharic 30, Afan Oromo 42, English and Afan Oromo 10, English and Amharic 8,
Amharic and Afan Oromo 5, and all the three languages 3. How many students
a. were studying none of the languages?
b. had Afan Oromo as their only language?
c. studied Amharic if they studied Afan Oromo?​

Respuesta :

Answer:

a. 17

b. 30

c. 5

Step-by-step explanation:

English (E) = 28 - 15 (10+8-3) = 13

Amharic (A) = 30 - 10 (8+5-3) = 20

Afan Oromo (AO) = 42 - 12(10+5-3) = 30

E+AO = 10

E + A = 8

A + AO = 5

A + AO + E = 3

a. 13 people spoke just English+ 20 people who just spoke Amharic + 30 people who just spoke Afan Oromo+ The multilingual people (10+8+5-3=20) which is 83, so that means that 17 learned no language.

b. 42 People learned Afan Oromo, but only 30 of them learned that language separately. 10 People learned it along with English, and 5 learned it with Amharic. However, 3 of those people were the same, so 12 people of those 42 spoke multiple languages. Therefore, only 30 people spoke just Afan Oromo.

c. This one is kinda just a trick question, they want you to overthink it because of the 3 who learned all, but it's just 5 like it says in the question.

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