Question

After reading 7/9 of a book,40 pages are left.How many pages are there in the book?

Answer 1

Answer:

pages read = 7/9

pages left = 2/9

let x be the total no of pages of the book

2/9* x = 40 ( 2/9 of the pages of book is 40)

x = 40* 9/2

x = 20*9

x = 180

Total pages of the book are 180.

Step-by-step explanation:

Answer 2

Given - Number of pages and fraction read

Find - Number of pages in book

Solution - Let the number of pages in book be x.

Number of pages read + number of pages left = total number of pages

Number of pages read = 7x/9

7x/9 + 40 = x

40 = x - 7x/9

Taking LCM and performing substraction

40 = $\frac{9 \times x \: - 7 \: \times x}{9}$

40 = $\frac{9x - 7x}{9}$

Shifting 9 to Left Hand Side

40*9 = 2x

Performing multiplication

2x = 360

$x = \frac{360}{2}$

Performing division

$x = 180$

Hence, the number of pages in book is 180.