There were 210 books in a bookstore, 5/7 of the books were fiction books and the rest were non-fiction books. 2/3 of the fiction books and 5/6 of the non-fiction books were in English. How many non-English books were there in the bookstore?
5/7 * 210 = 150 fiction, so 60 non-fiction
2/3 * 150 + 5/6 * 60 = _____ in English
so subtract that number from 210 to get the non-English books
fiction: 5/7 of 210 = 150
non-fiction : 60
English books = (2/3)(150) + (5/6)(60)
= 100+50
= 150
non-English books = 210-150 = 60
Total books in the bookstore = 210
Number of fiction books = 5/7 * 210 = 150
Number of non-fiction books = 210 - 150 = 60
Number of books in English = 2/3 (fiction books) + 5/6 (non-fiction books)
= 2/3 (150) + 5/6 (60)
= 100 + 50
150 books are in English
Number of Non-English books} = Total books - Number of English books
= 210 - 150
= 60 books
To solve this problem, we first need to find out how many fiction books and non-fiction books are in the bookstore.
Given that 5/7 of the books are fiction books, we can calculate the number of fiction books as follows:
Number of fiction books = (5/7) * Total number of books
So, fiction books = (5/7) * 210 = 150
To find the number of non-fiction books, we can subtract the number of fiction books from the total number of books:
Number of non-fiction books = Total number of books - Number of fiction books
So, non-fiction books = 210 - 150 = 60
Next, we need to determine how many of these books are in English.
Given that 2/3 of the fiction books are in English, we can calculate the number of English fiction books as follows:
Number of English fiction books = (2/3) * Number of fiction books
So, English fiction books = (2/3) * 150 = 100
Similarly, given that 5/6 of the non-fiction books are in English, we can calculate the number of English non-fiction books as follows:
Number of English non-fiction books = (5/6) * Number of non-fiction books
So, English non-fiction books = (5/6) * 60 = 50
Finally, to find the number of non-English books in the bookstore, we can subtract the number of English books from the total number of books:
Number of non-English books = Total number of books - Number of English books
So, non-English books = 210 - (English fiction books + English non-fiction books) = 210 - (100 + 50) = 60
Therefore, there are 60 non-English books in the bookstore.