She reads 30 pages of the book per day. After three days of reading, 5/8 of the book are left. How many pages are in this book?
240 pages
sure
she reads 30 pages of the book and she reads for 3 days, so 30 x 3 = 90
5/8 of the book are left, so she read 3/8 of the book. which means 3/8 of the book = 90 pages
you can use x as the length of the book, so 3/8(x) = 90
multiply both sides by 8/3:
x = 240
so there are 240 pages in the book
To find the total number of pages in the book, we first need to determine how many pages she reads in three days.
Since she reads 30 pages per day, in three days she will read 30 x 3 = 90 pages.
It is given that after three days of reading, 5/8 of the book is left. Let's represent the total number of pages in the book as "x".
Therefore, 5/8 of x = 90 pages.
To find the value of x, we can set up the equation:
(5/8) * x = 90
To solve for x, we need to isolate it on one side of the equation. To do this, we multiply both sides of the equation by 8/5:
(8/5) * (5/8) * x = 90 * (8/5)
This simplifies to:
x = 144
Hence, the book has a total of 144 pages.