The thickness of a science book is 20mm & that of a mathematics book is 28mm. Books of each type are stacked up in two separate piles. a. What will be the minimum height of each pile such that both piles are of the same height? b. Find the number of books in each pile.
Answers
Answer:
20*28+20*28
560+560=
1120
Given :-
- The thickness of a science book is 20mm & that of a mathematics book is 28mm.
- Books of each type are stacked up in two separate piles.
To find :-
- a. What will be the minimum height of each pile such that both piles are of the same height ?
- b. Find the number of books in each pile ?
Solution :-
a) To find the minimum height of each pile such that both piles are of the same height we just have to find the LCM of thickness of both books..
So,
Prime factors of 20 and 28 are :-
→ 20 = 2 * 2 * 5
→ 28 = 2 * 2 * 7
LCM = 2 * 2 * 5 * 7 = 140 .
Therefore, the minimum height of each pile such that both piles are of the same height is 140mm.
b)
→ Total Number of books in First pile = (Total Height) / (thickness of a science book) = 140/20 = 7 Book of science. (Ans.)
→ Total Number of books in second pile = (Total Height) / (thickness of a mathematics book) = 140/28 = 5 Book of mathematics. (Ans.)
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