books in a library are stacked in such a way that they are stored subject wise and the stacks are of the same size. If there are 144 geography books, 384 history books and 240 economics books, in the library, in how many stacks can the books be arranged?
Answers
Answer:
Number of geography books=144
Number of history books = 384
Number of economics books = 240
Number of book in each stack
= HCF of 144, 240 and 384
= 48
Number of stacks store geography book = 144/48
= 3 stacks
Number of stacks store history book
= 384/48
= 8 stacks
Number of stacks store economics book = 240/48
= 5 stacks
Total number of stacks = 3 + 5 + 8
= 16.
Answer:
Step-by-step explanation:
Number of geography books=144
Number of history books = 384
Number of economics books = 240
Number of book in each stack
= HCF of 144, 240 and 384
144= 2×2×2×2×3×3
240=2×2×2×2×3×5
384=2×2×2×2×2×2×2×3
HCF- 2×2×2×2×3= 48
Number of stacks store geography book = 144/48
= 3 stacks
Number of stacks store history book
= 384/48
= 8 stacks
Number of stacks store economics book = 240/48
= 5 stacks
Total no. Of Stacks- 16