Miko has a vast collection of books in her library. English books make up 3/8 of her collection. 5/7 of the remaining books are Chinese books and the rest are German books. How many books are there in her book collection if there are 75 Chinese books?
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Answer:
168 Books
Step-by-step explanation:
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Given:
English = 3/8 of the collection
Chinese = 5/7 of the remaining books
To Find:
the number books there in her book collection if there are 75 Chinese books.
Solution:
we have,
English books = 3/8
⇒ Remaining books = 1 - English books
⇒ Remaining books = 1 - 3/8
⇒ Remaining books = 5/8
A/Q
⇒ Chinese books = 5/7 (remaining books)
⇒ Chinese books = 5/7 (5/8)
⇒ Chinese books = 25/26
Also,
75 books are chinese,
Total number of books:
⇒ Chinese books = 25/26 * Total books
⇒ Total book = 56 * 75 / 25
⇒ Total books = 4200/25
⇒ Total books = 168
So, Total books = 168.
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