Question

Tim has a large collection of books. The number of paperback books he owns is three less then four times the number of hardcover books. In total, Tim has 447 books. How many hardcover books does he own?

Answer 1

Answer: let the no of paperback books be x and hardcover books be y

4y - x = 3

Therefore, x - 4y = -3 -----(1)

x + y = 447 ----(2)

Put x = 447 - y in eqn 1

447- y - 4y = -3

-5y = -3 - 447

-5y = -450

y = 90

x = 357

Explanation: