A bookstore is offering a 25% discount for a new book during a two-week sale. After the sale, the book will sell for the regular price of $32.00. The store has a total of 200 copies of the book.

If all of the copies of this book are sold, what is the number of discounted books that the store sells to make a total of $5440.00?

I know 25% of $32= $24

But how did they get 120 for answer

If x discounted books are sold (for $24 each) then

24x + 32(200-x) = 5440
solve to get x = 120

and 25% of 32 is not 24
24 = 75% of 32 (or 25% off)