There are 270 pages in this book.
Given that,
Emily reads a storybook the first day,
She reads 1/9 of the whole book, and on the second day, she reads 24 pages.
The ratio of the number of pages read to the remaining pages in the two days is 1:4.
We have to find
How many pages are there in this book?
According to the question,
Let, P is the number of pages,
The first day Emily reads p/9 pages of the whole book,
And the second day she read 24 pages.
The ratio of the number of pages read to the remaining pages in the two days = 1;4 = p/5.
Therefore,
The number of pages reads first day + the number of pages read the second day = The ratio of the number of pages read to the remaining pages in the two days
![\rm \dfrac{p}{9} + 24 = \dfrac{p}{5}\\\\ \dfrac{p}{5} - \dfrac{p}{9} = 24\\\\\dfrac{p \times 9 - p\times 5}{45} = 24\\\\ \dfrac{9p-5p}{45} = 24\\\\\dfrac{4p}{45} = 24\\\\4p = 24\times 45\\\\4p = 1080\\\\p = \dfrac{1080}{4}\\\\p = 270 \ pages](https://tex.z-dn.net/?f=%5Crm%20%5Cdfrac%7Bp%7D%7B9%7D%20%2B%2024%20%3D%20%5Cdfrac%7Bp%7D%7B5%7D%5C%5C%5C%5C%20%5Cdfrac%7Bp%7D%7B5%7D%20-%20%5Cdfrac%7Bp%7D%7B9%7D%20%3D%2024%5C%5C%5C%5C%5Cdfrac%7Bp%20%5Ctimes%209%20-%20p%5Ctimes%205%7D%7B45%7D%20%3D%2024%5C%5C%5C%5C%20%5Cdfrac%7B9p-5p%7D%7B45%7D%20%3D%2024%5C%5C%5C%5C%5Cdfrac%7B4p%7D%7B45%7D%20%3D%2024%5C%5C%5C%5C4p%20%3D%2024%5Ctimes%2045%5C%5C%5C%5C4p%20%3D%201080%5C%5C%5C%5Cp%20%3D%20%5Cdfrac%7B1080%7D%7B4%7D%5C%5C%5C%5Cp%20%3D%20270%20%5C%20pages)
Hence, there are 270 pages in this book.
For more details refer to the link given below.
brainly.com/question/14505922