Scott started to read a novel. He read 21 pages a day. After 7 days, he had 5/8 of the book left. How many pages are there in the book?
21 * 7 = (1 - 5/8) p = (3/8) p
p = 49*8 = 382 pages
To find the total number of pages in the book, we need to determine how many pages Scott read in 7 days, and then calculate the remaining portion of the book.
Let's break down the problem step by step:
1. Scott read 21 pages per day for 7 days, so the total number of pages he read is: 21 pages/day * 7 days = 147 pages.
2. If after 7 days Scott had 5/8 of the book left, it means that the portion he read is 3/8 of the book (1 - 5/8 = 3/8).
3. We can set up a proportion to find the total number of pages in the book: 3/8 of the book = 147 pages.
4. To solve for the total number of pages, we can cross-multiply: 3 * book = 8 * 147.
5. Simplifying the equation, we get: 3 * book = 1176.
6. Dividing both sides of the equation by 3, we find: book = 1176 / 3 = 392.
Therefore, there are 392 pages in the book.