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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?

 Aug 19, 2021
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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?

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Fiction books = 500 + x

Non-fiction books = x

 

(500 + x) + 1/4(500 + x) + x + 2/3(x) = 3145

 

x = 864

 

There were 1440 non-fiction books

 Aug 19, 2021
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 Aug 19, 2021

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