Two shelves contain 55 books. if half of the books from the second shelf were relocated to the first shelf, then the first shelf would contain 4 times more books than the second one. how many books are there on each shelf?

If we let x and y be the number of books in each of the shelves, respectively. Then, we generate the equation that best shows the scenario as the following system of linear equations.

x + y = 55

x + 0.5y = 4 (0.5y)

Solving for the values of x and y will give us the answers of,

x = 33

y = 22

Then, the number of books in each shelves are 33 and 22, respectively.