Question

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

Answer 1

hey your answer below

${\huge{\bold{\underline{Answer}}}}$

If 3/8 of the book were read the first day, then 5/8 remained.

4/5 of 5/8 = 4/5 * 5/8 = 4/8

So now 3/8 + 4/8 = 7/8 have been read.

The 30 pages that remain must be 1/8 of the total.

So if p is the total number of pages:

p/8 = 30

p = 240 pages

hope that helps.

Answer 2

${\boxed{\underline{\tt{ \orange{Required \: answer:-}}}}}$

★GIVEN:-

• 3/8th of the book was read on first day.

• I then reads 4/8th part of the book.

• 30 pages are left.

★TO FIND:-

• Pages that the book contains.

★SOLUTION:-

After reading 3/8 of the book,

The remaining fraction will be ---

$: \implies \sf{1 - \frac{3}{8} = \frac{5}{8} }$

Then the I reads 4/5 of 5/8

$: \implies \sf{ \frac{4}{5} \times \frac{5}{8} = \frac{1}{2} }$

Total I read in fraction ---

$: \implies \sf{ \frac{3}{8} + \frac{1}{2} = \frac{7}{8} }$

The fraction that was left will be ---

$: \implies \sf{1 - \frac{7}{8} = \frac{1}{8} }$

There are 30 pages left

$\therefore \sf{ \frac{30}{ \frac{1}{8} } = 30 \times 8}$

${ \boxed{ \underline{ \huge{ \color{teal}{ \mathsf{ \mathbf{240 \: pages}}}}}}}$

So the Book contains 240 pages.