Question

I read 3/8 part of the book in one day and 4/5 of the remainder on the next day. If 30 pages are still left to read, how many pages are there in the book ?​

Answer 1

Answer:

$\large\mathsf\color{blue}\underline{\underline{Given:}}$

$Part\:of\:the\:book\:read\:one\:day=\frac{3}{8}$

$Part\:of\:the\:book\:read\:next\:day=\frac{4}{5}$

$Number\:of\:pages\:left\:to\:read=30\:pages$

$\large\mathsf\color{orange}\underline{\underline{To\:find:}}$

$Total\:number\:of\:pages\:in\:the\:book=??$

$\large\mathsf\color{red}\underline{\underline{Concept:}}$

▪︎First find total pages left first day .

▪︎Then multiply .

▪︎Then find total number of pages read

▪︎After that find total number of pages unread .

▪︎After that divide it with pages .

$\large\mathsf\color{green}\underline{\underline{Solution:}}$

☆To find pages left see the formula:

$\frac{3}{8}=\frac{8-3}{8}$

☆Pages left first day :

$\Rightarrow{\frac{5}{8}}$

☆Now multiply:

$\frac{5}{8}×\frac{4}{5}$

$\Rightarrow{\frac{1}{2}}$

☆Now see fraction of pages read:

$\frac{3}{8}+\frac{1}{2}$

L.C.M of 2 and 8 is 8 .

$\frac{3+4}{8}$

$\Rightarrow{\frac{7}{8}}$

☆Now find the fraction of pages unread:

$\frac{8-7}{8}$

$\Rightarrow{\frac{1}{8}}$

☆Now find total number of pages in the book:

$30\:pages÷\frac{1}{8}$

$30\:pages×\frac{8}{1}$

$\therefore\boxed{240\:pages}$

$\large\mathsf\color{purple}\underline{\underline{Conclusion:}}$

So , 240 pages are total in the book .

HOPE IT HELPS YOU