the number of library books in a school increased by 20% after it bought new books in May , the number increased by another 20% after a bookstore donated 300 books in June - Find the number of books in the library before it bought new books in May
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To find the number of books in the library before it bought new books in May, we need to work backwards with the given information.
Let's assume the number of books in the library before May is 'x'.
According to the problem, the number of books increased by 20% after buying new books in May. So, the number of books after the May purchase is 1.2x (20% of x is equal to 0.2x, and adding that to x gives us 1.2x).
Then, it says the number increased by another 20% after a bookstore donated 300 books in June. We need to add both the donation and the 20% increase in books. Since the number of books after the May purchase is 1.2x, a 20% increase is 0.2 * 1.2x = 0.24x. Adding the 300 donated books gives us the final equation: 1.2x + 0.24x + 300.
Now, we need to solve for x. The equation becomes: 1.2x + 0.24x + 300 = total number of books in the library.
Simplifying the equation, we get: 1.44x + 300 = total number of books in the library.
Since we want to find the number of books before May, we can solve for x by subtracting the total increase (1.44x + 300) from the final number of books.
So, the final equation to find x is: Total number of books - 1.44x - 300 = x.
Plug in the total number of books in the library to find the value of x.