Question

What is the maximum number of books that can be placed in each stack for this purpose?
10
14
12
15​

Answer 1

Answer:

10

Step-by-step explanation:

10 books can be placed in each stack. since total no of books is 550, hence 550/10 = 55 sacks will be used. 13 stacks will be used for biology books and 42 stacks will be used for history books.

Answer 2

Note: the given question is incomplete as it should be as follows:

"A book seller has 420 science stream books and 130 Arts stream books. He wants to stack them

in such a way that each stack has the same number and they take up the least area of the  surface.  Book  SHOP

(i) What is the maximum number of books that can be  placed in each stack for this purpose?"

Given :

A book seller has 2 stream books.

They are :

                      (1) 420 Science stream books.  

                     (2) 130 Arts stream books.

To find:

(i) Maximum number of books.

Solution:  

Find the Maximum number of books :

Using the H.C.F methodology maximum number of books can be found.

H.C.F ( Science stream books, Arts stream books ) $= H.C.F ( 420, 130 )$

H.C.F of $420 = 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420 .$

H.C.F of $130 = 1, 2, 5, 10, 13, 26, 65, 130.$

Therefore, the  H.C.F$( 420, 130 )$ is $10.$

Hence, the maximum number of books is 10 books that can be placed in each stack.