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Mathematics

After reading 58\dfrac{5}{8} of a book, 168 pages are left. How many pages are there in all in the book?

Fractions

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Answer

Let the total number of pages be x.

Given, number of pages read = 58\dfrac{5}{8} x

Pages are left = 168

Number of pages left

⇒1x−58x=168⇒8x8−5x8=168⇒8x−5x8=168⇒3x8=168⇒x=168×83⇒x=13443⇒x=448\Rightarrow 1x - \dfrac{5}{8}x = 168\\[1em] \Rightarrow \dfrac{8x}{8} - \dfrac{5x}{8} = 168\\[1em] \Rightarrow \dfrac{8x - 5x}{8} = 168\\[1em] \Rightarrow \dfrac{3x}{8} = 168\\[1em] \Rightarrow x = \dfrac{168 \times 8}{3}\\[1em] \Rightarrow x = \dfrac{1344}{3}\\[1em] \Rightarrow x = 448

Hence, total number of pages = 448.

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