SOLUTION: Mrs Lee bought 50 books for $50. She paid $4 for each of the big books and$1 for 4 smaller books. How many big books and small books did she buy?
A combination of (1 big book plus 4 small books) costs exactly 5 dollars and contains 5 books.
So, 10 times this combination satisfies/satisfy to the condition.
Answer. 10 big books and 4*10 = 40 small books.
I was lasy to write and to solve the problem using the system of equations.
So, I solved it MENTALLY, instead.