The number of books the library holds before it received the grant is 17,312 books
Let the original number of books in the library be x
- If the State Library received a three-year grant to add 69,678 books to their collection, the total number of books will be x + 69,678
- If during a used book sale, the library sold 430 books, the remaining books will be (x+69,678) - 430 = x + 69,248
If the collection now is five times more than the original number of books, then;
x + 69,248 = 5x
5x - x = 69,248
4x = 69,248
x = 69,248 /4
x = 17,312
Hence the number of books the library holds before it received the grant is 17,312 books
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