3/4 of the books in the library are English books and the rest are Chinese books. There are 2849 more English books than Chinese books. What is the total number of books in the library?

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Answer 1 · 2016-08-28T20:40:27

#2xx2849 = 5698 # books

Working with fractions, we know the following:
#3/4# are English books. #1/4# are Chinese books.

The difference between the fractions is:

#3/4 -1/4 = 2/4 =1/2#

The difference between the number of books is 2849.

So if half of the number of books is 2849, the total number of books is;
#2849 xx 2 = 5698#

OR:

#1/2 xx x = 2849#

#x = 2xx2849 = 5698#