Maths
posted by Student56 on .
20% of the books in a library were fiction books while the rest were nonfiction books. When 30% of the fiction books and 15% of the nonfiction books were borrowed, there were 1312 books left in the library. How many books were borrowed?
(Please show me your workings clearly.)

X books in Lib.
Fiction = 0.2x books.
Nonfiction = 0.8x. books.
0.7(0.2x) + 0.85(0.8x) = 1312.
0.14x + 0.68x = 1312
0.82x = 1312
X = 1600.
0.2x = 320.
0.8x = 1280.
Books Borrowed = 1600  1312 = 288.