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After reading 5 upon 8 of a book, 168 pages are left. How many pages are there in all in the book.
Given: After reading 5 upon 8 of a book, 168 pages are left.
To find: Here we have to find the total number of pages in the book.
Solution:
Let total number of pages in the book = a
Given that:
Pages read = $\frac{5}{8}$ of total pages
Pages read = $\frac{5a}{8}$
So,
Number of pages left = Total pages $-$ Pages
Number of pages left = $a\ -\ \frac{5a}{8}$
Number of pages left = $\frac{8a\ -\ 5a}{8}$
Number of pages left = $\frac{3a}{8}$
Also,
Number of pages left = 168
$\frac{3a}{8}$ = 168
a = 168 $\times\ \frac{8}{3}$
a = 448
Total pages in the book = a = 448 pages
So, there are 448 pages in the book.
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