Solve the Problem Below by Setting Up and Solving a System

Multiple Choice

Solve the problem below by setting up and solving a system of two linear equations in two variables. Suppose that a library buys a total of 32 books, which cost $452. Some of the books cost $21 each and the rest cost $10 per book. How many books of each price did the library buy?

A) 19 books at $21 each and 16 books at $10 each
B) 9 books at $21 each and 24 books at $10 each
C) 24 books at $21 each and 17 books at $10 each
D) 8 books at $21 each and 32 books at $10 each
E) 12 books at $21 each and 20 books at $10 each