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Question

You borrow a book from the library to read during your vacation. On the first day of vacation, you read one quarter of the book. On the second day, you read half of the remaining pages. On the third day, you finish the last 120 pages of the book. How many pages does the book have?

Solution

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Answered 2 years ago
Answered 2 years ago
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Let the total number of pages in the book be xx, then on the first day 1 quarter of the book is read that is x4=0.25x\dfrac{x}{4}=0.25x, on the 2nd day half of the remaining book is read, so in expression that is 0.5×(xx4)=0.5x0.125x=0.375x0.5\times(x-\dfrac{x}{4}) = 0.5x-0.125x = 0.375x. On the last day, the remaining book is read which is equal to x0.25x0.375x=0.375xx-0.25x-0.375x = 0.375x. This portion of the book is equal to 120 pages. Evaluate xx:

x=1200.375=320\begin{equation*} x=\dfrac{120}{0.375} = 320 \end{equation*}

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