Question

Sachin reads 3/5 of a book. he finds that there are still 80 pages left to be read. total of pages in the book are?

How to do this in fractions?

Answer 1

Step-by-step explanation:

SOLUTION

Let the total number of pages in the book be x pages.

No. of pages Sachin has read= \frac{3}{5}

5

3

of total no. of pages

∴ Total no. of pages read = \frac{3}{5}

5

3

× x = \frac{3x}{5}

5

3x

No. of pages left to be read = 80 pages

no. of pages read + no. of pages left = total no. of pages

80 + \frac{3x}{5}

5

3x

= x

80 x 5 + 3x = 5x

400 + 3x = 5x

400 = 5x - 3x

400 = 2x

2x = 400

x = \frac{400}{2}

2

400

x = 200

∴ Total number of pages = 200

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Sachin reads 3/5 of a book. he finds that there are still 80 pages left to be read. total of pages in the book are = 200

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