Question

a travel book has 70 2 sided pages of pictures Each of which is 1/28 in thick where each 2 sided page is preceded by a protective 1/70 inch thick piece of paper in each side of the book is bound by 1/8 inch cover what is the total thickness of the book

Answer 1

There's 70 pages that are each 1/28 inch thick, so 70 all together is 70 * 1/28 = 2.5 inches thick.

There's 2 1/70 inch thick protecvtive pieces of paper, which is 2 * 1/70 = 1/35 inch thick together.

The cover is on both sides and is 1/8 inch on one side, so both sides are 2 * 1/8 = 0.25 inch thick together.

All together the total book is 1/35 + 0.25 + 2.5 = about 2.779 inches thick.

:)))

Answer 2

Answer:

2.78 inches

Step-by-step explanation:

Given,

Total pages = 70,

Thickness of each page = $\frac{1}{28}$,

Thus, the total thickness of 70 pages = $70\times (\frac{1}{28})=\frac{35}{14}$

Also, each 2 sided page is preceded by a protective $\frac{1}{70}$ inches,

So, the total thickness of protective pages = $\frac{1}{70}\times 2$

$=\frac{1}{35}$

Now, the each side of the book is bound by 1/8 inch cover,

So, the total thickness of the cover = $2\times \frac{1}{8}$

$=\frac{1}{4}$

Hence, the total thickness of the book = thickness of 70 pages + thickness of protective pages + thickness of cover

$=\frac{35}{14}+\frac{1}{35}+\frac{1}{4}$

$=\frac{350 + 4+35}{140}$

$=\frac{389}{140}$

$=2.77857$

≈ 2.78 inches