The number of books that Jon has is represented by j. The number of books that Roger has is represented by r. If Jon gave Roger 10 books then Jon would have half the number of books that Roger now has. Write an equation to represent this situation.
After Jon gives Roger 10 books, the number of books Jon has is represented by j - 10. The number of books Roger has is represented by r + 10. According to the problem, j - 10 is equal to half of (r + 10). Thus, the equation can be written as:
j - 10 = (1/2)(r + 10)