Question

There is a total of 36 books on the bookshelf. The number of hardback books is 15 more than twice the number of paperback books. How many hardback books are on the bookshelf?

Answer 1

The number of hardback books that are on the bookshelf is 29 books.

• Let the total number of books be T.

• Let the number of hardback books be H.

• Let the number of paperback books be P.

Given the following data:

• Total number of books = 36 books

To determine the number of hardback books that are on the bookshelf:

Translating the word problem into an algebraic expression, we have;

The total number of books is:

$T = H+P$

The number of hardback books is 15 more than twice the number of paperback books:

$H =2P+15$

Substituting the given parameters into the formula, we have;

$36 = 2P+15+P\\\\36=3P+15\\\\3P=36-15\\\\3P=21\\\\P=\frac{21}{3}$

P = 7 books

For number of hardback books:

$H =2P+15\\\\H=2(7)+15\\\\H=14+15$

H = 29 books

Read more on word problem here: brainly.com/question/24604067