Question

Tim has a large collection of books. The number of paperback books he has is 3 times less then 4 times the amount of hardcover books. How many hardcover books does Tim have?

Answer 1

Complete Question:

Tim has a large collection of books. The number of paperback books he owns is three less than four times the number of hard cover books, in total Tim had 447 books, How many hard cover books does Tim own ?

Answer:

Tim has 90 hard cover books

Explanation:

Represent the paper books as P and the hard covers as H

The total number of books can be represented as:

`P + H = 447`

From the first statement, we have:

P = 3 less than 4 times H

This means:

`P = 4H - 3`

Required

Solve for H

Substitute 4H - 3 for P in
`P + H = 447`

`4H - 3 + H = 447`

Collect Like Terms

`4H + H = 447 + 3`

`5H = 450`

Solve for H

`H = (450)/(5)`

`H = 90`

Hence:

Tim has 90 hard cover books