I read 3/8 part of the book in one day and 4/5 of remainder on the next day. If 30 pages are still left
to read, how many pages are there in the book ?
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Answered by
0
Answer:
Hunar, If 3/8 of the book were read the first day, then 5/8 remained. So now 3/8 + 4/8 = 7/8 have been read. The 30 pages that remain must be 1/8 of the total.
Answered by
3
Step-by-step explanation:
IT IS YOUR ANSWER REALY
Answer:
\large\mathsf\color{blue}\underline{\underline{Given:}}
Given:
Part\:of\:the\:book\:read\:one\:day=\frac{3}{8}Partofthebookreadoneday=
8
3
Part\:of\:the\:book\:read\:next\:day=\frac{4}{5}Partofthebookreadnextday=
5
4
Number\:of\:pages\:left\:to\:read=30\:pagesNumberofpageslefttoread=30pages
\large\mathsf\color{orange}\underline{\underline{To\:find:}}
Tofind:
Total\:number\:of\:pages\:in\:the\:book=??Totalnumberofpagesinthebook=??
\large\mathsf\color{red}\underline{\underline{Concept:}}
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:}}
Solution:
☆To find pages left see the formula:
\frac{3}{8}=\frac{8-3}{8}
8
3
=
8
8−3
☆Pages left first day :
\Rightarrow{\frac{5}{8}}⇒
8
5
☆Now multiply:
\frac{5}{8}×\frac{4}{5}
8
5
×
5
4
\Rightarrow{\frac{1}{2}}⇒
2
1
☆Now see fraction of pages read:
\frac{3}{8}+\frac{1}{2}
8
3
+
2
1
L.C.M of 2 and 8 is 8 .
\frac{3+4}{8}
8
3+4
\Rightarrow{\frac{7}{8}}⇒
8
7
☆Now find the fraction of pages unread:
\frac{8-7}{8}
8
8−7
\Rightarrow{\frac{1}{8}}⇒
8
1
☆Now find total number of pages in the book:
30\:pages÷\frac{1}{8}30pages÷
8
1
30\:pages×\frac{8}{1}30pages×
1
8
\therefore\boxed{240\:pages}∴
240pages
\large\mathsf\color{purple}\underline{\underline{Conclusion:}}
Conclusion:
So , 240 pages are total in the book .
HOPE IT HELPS YOU
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