Question

if a tablet has the capacity of 22 GB. and for a plain textbook one bite typically corresponds to one character and an average page consists of 2000 characters. all 22 GB are used for plain textbooks. how many pages of text can the tablet hold?how many 500 page books can the tablet hold ?

Answer 1

The tablet has a capacity of 22GB

one bite = 1 character

2000 characters = 1 bite x 2000 characters= 2000 bites

1 bite = 1 x 10^-9 giga bite

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x bite = 22 giga bite

Cross multiplying

x bite = (22GB) / 1 x 10^-9 GB

x = 2.2 x 10^10 bites

To find how many pages of text the tablet holds we divide the value of 22GB in bites by the number of bites of one page

22GB = 2.2 x 10 ^10 bites

1 page holds 2000 bites

No of pages of text the tablet can hold = (2.2 x 10^10)/2000 = 11000000 pages of text

A 500 page book has 500 x 2000 characters = 1,000,000 characters

1000000 characters = 1000000 bites

The number of 500-page books the tablet can hold =

$\frac{2.2x10^{10}}{1000000}=22,000\text{ 500-page books}$

answer for the B part = 22,000 500-page books