A photography book has 60 two-sided pages of pictures, each of which is 1/40 inch thick, where each two-sided page is preceded by a protective 1/80 inch thick piece of paper, and each side of the book is bound by a 1/4 inch cover. What is the total thickness of the book?

Respuesta :

Answer:

3.5 inches

Step-by-step explanation:

Given :

A photography book has 60 two-sided pages of pictures.

Thickness of each page is [tex]\frac{1}{40}[/tex]

Each two-sided page is preceded by a protective 1/80 inch thick piece of paper.

Each side of the book is bound by a 1/4 inch cover.

To Find: What is the total thickness of the book?

Solution :

Since each two sided page is preceded by a protective 1/80 inch thick piece of paper.

So, both sided preceded by a protective thick piece = [tex]2*\frac{1}{80}[/tex]

                                                                                        = [tex]\frac{1}{40}[/tex]

And Thickness of each paper [tex]\frac{1}{40}[/tex]

So, total thickness of paper :  [tex]\frac{1}{40}+\frac{1}{40}[/tex]

                                                [tex]\frac{2}{40}[/tex]

Since there are 60 pages.

So, thickness of 60 pages = [tex]60*\frac{2}{40}[/tex]

                                             = 3 inches

Now each side of the book is bound by a 1/4 inch cover

So, thickness of cover of both side =  [tex]2*\frac{1}{4}[/tex]

                                                           = [tex]\frac{1}{2}[/tex]

Now total thickness of book = thickness of 60 pages + thickness of both side covers

                                                           = [tex]3+\frac{1}{2}[/tex]

                                                           = [tex]\frac{7}{2}[/tex]

Thus the thickness of the book is 7/2 inches .

Hence the total thickness of book is 3.5 inches