Question

Suppose you have a tablet with a capacity of 35 gigabytes. for a plain text​ book, one byte typically corresponds to one character and an average page consists of 2000 characters. assume all 35 gigabytes are used for plain text books.

a. how many pages of text can the tablet​ hold?
b. how many​ 500-page books can the tablet​ hold?

Answer 1

The first thing we must keep in mind is the following unit conversion:

`1 gigabytes = 1 * 10 ^ 9 bytes`
We have then that for 35 gigabytes:

`35 * (1 * 10 ^ 9) = 35 * 10 ^ 9 bytes`

Part A:
For this case we make the following rule of three:
2000 bytes --------------> 1 page
35*10^9 bytes ----------> x
From here, we clear x:

`x = (35 * 10 ^ 9) / (2000) x = 17500000 pages`

Part B:
Then, the number of 500-page books is:

`n = (17500000) / (500) n = 35000`