there sets of physics, chemistry and mathematics books have to be attached in such a way that all the books are stored topic wise and the number of books in each stack is the same. the number of physics books is 192, the number of chemistry books is 240 and the number of mathematics books is 168. determine the numbers of strach of physics, chemistry and mathematics books
Answers
Answer:
Step-by-step explanation:
HCF of 192,240 ans 168 is 24
The number of books in each strach is 24.
No of strach of physics books=8
No of strach of chemistry books=10
No of attach of maths book=7
Answer:
Three sets of physics chemistry and mathematics books have to be stacked.
Bur all the books are stored topic wise and the number of books in each stack is same.
Number of Physics books = 192
Number of Chemistry books = 240
Number of Mathematics books = 168
We will calculate the Highest Common Factor (HCF) of the numbers.
Factors of 192 = 2 × 2 × 2 × 2 × 2 × 2 × 3
Factors of 240 = 2 × 2 × 2 × 2 × 3 × 5
Factors of 168 = 2 × 2 × 2 × 3 × 7
Common factors = 2 × 2 × 2 × 3
HCF = 24
In each stack there are 24 books. Therefore, the number of stack of each subject would be
No. of stacks of Physics books = {192}{24}
= 8
No. of stacks of Chemistry books = {240}/{24}
= 10
No. of stacks of Mathematics books = {168}/{24}
= 7
The number of stacks of physics = 8, Chemistry = 10 and mathematics = 7