22. A paperback version of a book costs [tex]$17.10. This cost is $[/tex]2.89 less
than the cost of the hardcover version of the book. Write and solve
an equation to find the hardcover cost of the book.



Answer :

To find the cost of the hardcover version of the book, let’s denote the cost of the hardcover version as [tex]\( h \)[/tex].

According to the problem, the cost of the paperback version is [tex]$17.10, and this is $[/tex]2.89 less than the cost of the hardcover version. We can express this relationship with the following equation:

[tex]\[ 17.10 = h - 2.89 \][/tex]

Here is the step-by-step process to solve for [tex]\( h \)[/tex]:

1. Write the equation:
[tex]\[ 17.10 = h - 2.89 \][/tex]

2. Isolate [tex]\( h \)[/tex] by adding 2.89 to both sides of the equation:
[tex]\[ 17.10 + 2.89 = h \][/tex]

3. Perform the addition to find the value of [tex]\( h \)[/tex]:
[tex]\[ 19.99 = h \][/tex]

Therefore, the cost of the hardcover version of the book is:

[tex]\[ h = 19.99 \][/tex]

Thus, the hardcover version of the book costs $19.99.