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+1 vote
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in Mathematics by (106k points)

A school library has 280 science journals and 300 maths journals. Students were told to stack these journals in such a way that each stack contains equal number of journals. Determine the number of stacks of science and maths journals. What is the benefit of library in student life?

1 Answer

+2 votes
by (24.1k points)
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Best answer

Solution:
Since, each stack contains equal number of journals.
=> Number of journals in each stack
= HCF (280, 300)
280 = 2 x 2 x 2 x 5 x 7 = 23 x 5 x 7
300 = 2 x 2 x 5 x 5 x 3 = 22 x 52 x 3
=> HCF (280, 300) = 22 x 5 = 20
=> Number of stacks of science journals
= 280/20 = 14
Number of stacks of maths journals
= 300/20
= 15

=> There are 14 stacks of science journals and 15 stacks of maths journals.
Library helps students to develop life-long learning skills.

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