Ravi runs a book shop at school of maths Gurgaon. He received 480 chemistry books ,192 physics and 672 mathematics books of class XI
he wishes to to average these books in minimum number of stacks
Answers
Answer:
896is the correct answer
Given:- Chem books = 480
Phy books = 192 Maths books= 672
To find:- minimum number of stacks
Solution:- To find the minimum number of stacks we have the following data:-
Chem books = 480
Phy books = 192 Maths books= 672
Now, In order for minimum stacks Books in each stack must be maximum . So, we need to find the HCF of 480 , 192 and 672 .
Therefore using the hcf concept we say that:-
→ 480 = 2 * 2 * 2 * 2 * 2 * 3 * 5
→ 192 = 2 * 2 * 2 * 2 * 2 * 2 * 3
→ 672 = 2 * 2 * 2 * 2 * 2 * 3 * 7
Therefore the hcf is given as:-
2 * 2 * 2 * 2 * 2 * 3 = 96
Now,
Minimum number of stacks of all the books are the total number of books Ravish has divided by the maximum number of stack.
i.e
=(480 + 192 + 672)/96
=14
Hence,
Minimum number of stacks of all the books are 14.