Question

Galvin bought 3/5 as many non-fiction books as fiction books from a book fair. He read 6 non-fiction books and 13 fiction books. He then had 3/4 as many non-fiction books left to read as fiction books. How many books did Galvin buy altogether?

Answer 1

Answer:

Let total non-fiction books = 3x

And total fiction books = 5x

After reading 6 non-fiction books, remaining non-fiction books = 3x-6

After reading 13 fiction books, total fiction books remaining fiction books = 5x-13

(3x-6)/(5x-13) = 3/4

Solving for x, we get x = 5

So total non-fiction books = 15 and fiction books=25

So total number of books bought = 40