A charitable trust donates 28 different books of Maths, 16 different books of science and 12 different books of Social Science to the poor students. Each student is given maximum number of books of only one subject of his interest and each student got equal number of books which is 4. Find the total number of students who got books.

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Detailed Solution

Given,
There are 28 different books of Maths.
The 12 different books of Social Science.
The 16 different books of science.
The number of books each student got is 4.
Thus,

⇒

Total number of books = 28+16+12

⇒

Total number of books=56
According to question,
Each student got an equal number of books.

⇒ Total students who got books= total number of books number of books each student got ⇒ Total students who got books= 564 ⇒ Total students who got books = 14

Thus, the total number of students who got books is 14.
Therefore, option (1) is the correct answer.

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