Question 23

I read $$\frac{3}{8}$$ of a book on one day and $$\frac{4}{5}$$ of the remainder on another day. If $$30$$ pages are still unread, then the total number of pages in the book is

Correct Answer: 240

Solution

After the first day, $$\frac{5}{8}$$ of the book remains. Reading $$\frac{4}{5}$$ of this remainder leaves $$\frac{1}{5}\times\frac{5}{8}=\frac{1}{8}$$ of the book unread. Since $$\frac{1}{8}$$ equals $$30$$ pages, the book has $$30 \times 8=240$$ pages.

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