A government agency plans to donate a collection of 9,126 books to three libraries in the ratio 1:3:5. What is the largest number of books that a library can get?
Answers
Answered by
71
Explanation:
X + 3x + 5x = 9126
9x = 9126
X=9126/9=1014
1st library = 1014 books
2nd library = 3x = 3(3042) =3042 books
3rd library = 5x = 5(5070) = 5070 books
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Answered by
20
Answer:
The largest number of books that a library can get is 5,070 books
Explanation:
Let,
The books donated to
- Library (I) = x
- Library (II) = 3x
- Library (III) = 5x
Collection of total books = 9,126
According to question :
⇒ x + 3x + 5x = 9,126
⇒ 9x = 9,126
⇒ x = 9,126 / 9
⇒ x = 1,014
__________________
★ Value of 3x:
⇒ 3 (1014)
⇒ 3 × 1014
⇒ 3042
__________________
★ Value of 5x:
⇒ 5 ( 1014)
⇒ 5 × 1014
⇒ 5070
__________________
Hence,
Library (I) = 1,014 books
Library (II) = 3,042 books
Library (III) = 5,070 books
Therefore,
The largest number of books that a library can get is 5,070 books
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