The number of hardback books that are on the bookshelf is 29 books.
Given the following data:
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:
[tex]T = H+P[/tex]
The number of hardback books is 15 more than twice the number of paperback books:
[tex]H =2P+15[/tex]
Substituting the given parameters into the formula, we have;
[tex]36 = 2P+15+P\\\\36=3P+15\\\\3P=36-15\\\\3P=21\\\\P=\frac{21}{3}[/tex]
P = 7 books
For number of hardback books:
[tex]H =2P+15\\\\H=2(7)+15\\\\H=14+15[/tex]
H = 29 books
Read more on word problem here: https://brainly.com/question/24604067
