There were 500 more fiction books than non-fiction books in a bookshop. When more books were added to the bookshop, the number of fiction books increased by 1/4, while the number of non-fiction books increased by 2/3. The total number of books became 3145. How many non-fiction books were there after the increase?

1 answer

f = n+500
5/4 f + 5/3 (f-500) = 3145
f = 1364
so there were 864 nonfiction books at first, which increased to 1440
those, added to the 5/4 * 1364 = 1705 fiction books made 3145
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