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mmelody5

18.10.2022

Mathematics

Total number of pages are 60 there in the book.

Step-by-step explanation: Let us assume total number of pages by x.

On Monday 2/15 of total pages were read that is = 2/15x pages

On Tuesday = 1/3 x.

On Wednesday = 2/9 x

Remaining pages on Thursday = x-2/15x-1/3 x -2/9 x

On Thursday total pages were read= 3/4 of the remainder = 3/4 ( x-2/15x-1/3 x -2/9 x).

Remaining pages on Friday = 3/4 ( x-2/15x-1/3 x -2/9 x).

We are given that one Friday 14 pages left.

Therefore,

3/4 ( x-2/15x-1/3 x -2/9 x) =14

$\frac{3}{4}\left(x-\frac{2}{15}x-\frac{1}{3}x-\frac{2}{9}x\right)=14$

Multiplying both sides by 4, we get

$4\times \frac{3}{4}\left(x-\frac{2}{15}x-\frac{1}{3}x-\frac{2}{9}x\right)=14\times 4$

$3\left(x-\frac{2}{15}x-\frac{1}{3}x-\frac{2}{9}x\right)=56$

$\frac{14}{15}x=56$

Multiplying both sides by 15, we get

$15 \times\frac{14}{15}x=56\times 15$

14x=840

$\frac{14x}{14}=\frac{840}{14}$

x=60

Total number of pages are 60 there in the book.

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