SOLUTION: In a library the ratio of Sinhalese books to English books is 5:3 if all the English books are novels and 1/10 of the Sinhala books are not novels. what is the proportion of books

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: In a library the ratio of Sinhalese books to English books is 5:3 if all the English books are novels and 1/10 of the Sinhala books are not novels. what is the proportion of books      Log On


   

Question 1044439: In a library the ratio of Sinhalese books to English books is 5:3 if all the English books are novels and 1/10 of the Sinhala books are not novels. what is the proportion of books that are novels?
Answer by KMST(5328) About Me  (Show Source):
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If the ratio of Sinhalese books to English books is 5:3,
the English books are 3%2F%285%2B3%29=3%2F8 of all the books.
Those are all novels.
Of the remaining 5%2F8 of the books, 1%2F10 are not novels,
and the other 1-1%2F10=9%2F10 are novels.
Since the Sinhalese books are 5%2F8 of the total,
9%2F10 of them are novels,
%289%2F10%29%285%2F8%29=9%2F16 of all the books are Sinhalese novels.
The novels are 3%2F8%2B9%2F16=6%2F16%2B9%2F16=highlight%2815%2F16%29 of all the books in the library.