Question

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 bioks of only one subject of their interest and each student got equal no. of books ,(1) find the no. of books each student get (2) find the total no. of student who got books (3) how it helps oue society

Answer 1

(1)    we need HCF of 28 , 16 and 12
the prime factors of 28 are = 2*2*7
the prime factors of 16 are = 2*2*2*2
the prime factors of 12 are = 2*2*3
thus,HCF of 28,16 and 12 are= 2*2=4
.: maximum number of books each student got = 4

(2)   the number of maths books = 28/4 = 7
the number of maths books = 16/4 = 4
the number of maths books = 12/4 = 3

.: total number of books are = 7+4+3 = 14 books

(3)   

Answer 2

Answer:

Given,

Number of maths books = 28

Number of science books = 16

Number of social science books = 12

to find (1) no of books each student get

(2) total number of students

(3) how it helps the society

Explanation:

(1) HCF of 28,16,12

prime factorisation of 28 = 2×2×7

prime factorisation of 16 = 2×2×2×2

prime factorisation of 12 = 2×2×3

Hcf = 2×2 = 4

each student get 4 books

(2) total number of students=

Maths books = 28/4 = 7

History books = 16/4 = 4

Social science books = 12/4 = 3

total number of students = 7+4+3 = 14

(3) It helps our society in the following ways:

• Those who do not have money to purchase these books can have the profit of it.
• This helps to spread education.