Iqbal and Sachin have bookshelves of the same size and holding books of the same sizes. Iqbal's shelf is 7/8 full and Sachin's shelf is 12/15 full. If 351 more books of the same size are distributed among them, then they can fill their shelves completely. How many books does Sachin have now?
Answers
Question :-- Iqbal and Sachin have bookshelves of the same size and holding books of the same sizes. Iqbal's shelf is 7/8 full and Sachin's shelf is 12/15 full. If 351 more books of the same size are distributed among them, then they can fill their shelves completely. How many books does Sachin have now ?
Solution :---
It is given that Iqbal's shelf is 7/8 full ..
→ That Means we can say that, iqbal's shelf is (1 - 7/8) = 1/8 is Empty .....
Similarly,
Sachin's shelf is 12/15 full.
→ That Means we can say that, sachin's shelf is (1 - 12/15) = 3/15 is Empty.....
→ Both total Empty = (1/8 + 3/15)
Taking LCM of denominator ,
→ (15+24 /120)
→ 39/120
→ 13/40 part is Empty in both .
Now, it has been said that, when 351 more books are distributed among them , both shelves filled completely .
So, we can say that :----
→ 13/40 part ---------------- 351
→ 1 part ---------------------- 351*40/13 = 1080 = Total Books in Both Selves .
__________________
Now, since bookshelves of the same size and holding books of the same sizes ,,
→ Both have Books in Each = 1080/2 = 540 books .
Hence, Iqbal and sachin both have 540 books of same size in their bookshelves..
Answer:
Thus Sachin and Iqbal have 540 books of the same size
Step-by-step explanation:
We Have :-
Iqbal's shelf is 7/8 full and Sachin's shelf is 12/15 full
351 more books of the same size are distributed among them, then they can fill their shelves completely
To Find :-
Number of books Sachin have
Solution :-
Iqbal's Shelf is 1/8 empty
Sachin's Shelf is 3/15 empty
Total Empty = 1/8 + 3/15
= 13/40
We have 351 books distributed among both
13/40 = 351
1 = ( 351 * 40 ) / 13
= 1080
Both shelves have 1080 books in total
And we have 2 shelves of same size
= 1080 / 2
= 540 books