Question

In 2013, a State Library received a three-year grant to add 69,678 books to their

Answer 1

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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