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?

There are 168 books are there in her book collection if there are 75 Chinese books.

Given

Miko has a vast collection of books in her library.

English books = 3/8

Chinese books = 5/7.

A ratio is a comparison of two or more numbers that indicates their quantities in relation to each other.

The proportion of the English books is 3/8, the remaining is:

Then,

Chines books = ratio of Chinese book × ratio of remaining books × Total books

Hence, there are 168 books are there in her book collection if there are 75 Chinese books.

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168 books

Step-by-step explanation:

Given

of the remaining books

Required

Determine the total number of books

If the proportion of the English books is 3/8, the the remaining is:

Take LCM

From the question, we understand that:

of the remaining books

This means:

From the question, we also understand that 75 are Chinese books.

The total number of books can then be calculated using:

Substitute 75 for Chinese

Make Total the subject:

add an image

step-by-step explanation: