Question:
After reading $\frac{7}{9}$ of a book, 40 pages are left. How many pages are there in the book?
Solution:
Ratio of the read book $=\frac{7}{9}$
Ratio of the unread book $=1-\frac{7}{9}$
$=\frac{2}{9}$
Let x be the total number of pages in the book.
Thus, we have:
$\frac{2}{9} \times x=40$
$\Rightarrow x=40 \div \frac{2}{9}$
$=40 \times \frac{9}{2}$
$=\frac{40}{1} \times \frac{9}{2}$
$=\frac{40 \times 9}{1 \times 2}$
$=\frac{360}{2}$
$=180$
Hence, the total number of pages in the book is 180.