three sets of physics chemistry and biology books have to be stacked in such way that all the books are stored topic wise and tge number of books in each stack in same.the number of physics,chemistry and biology books are 192,240and 168 respectively. determine the number of stacks of physics,chemistry and biology books
Answers
Answer:
Just find the HCF of 192, 240, 168
Prime factor of 192 = 2x2x2x2x2x2x3
Prime factor of 240 = 2x2x2x2x3x5
Prime factor of 168 = 2x2x2x3x7
So, HCF = 2x2x2x3 = 24
so number of stacks of
Physics = 192/24 = 8
chemistry = 240/24 = 10
Biology = 168/24 = 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
Step-by-step explanation:
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