Ding Ding read a book. On the first day, he would read 15 pages. After that, he would read five more pages every day than the previous day. After five days, he would finish reading. How many pages does this book have?Assuming that the book has x pages:
15 pages on the first day, so there are 15 pages in the book
From now on, I'll read five more pages every day than the day before, so after five days, I'll read (15+5)×5=125 pages, plus the 15 pages I've already read before, that's a total of 270 pages
Therefore, the book had a total of 270 pages.
Little Ming was reading a storybook. He planned to read 12 pages a day, but he actually read 8 pages a day. In the end, he finished reading it two days earlier. How many pages is this storybook?Xiao Ming planned to read 12 pages a day, but he actually finished reading 8 pages a day two days earlier. Assuming that this storybook has x pages:
- The plan is to read x/12 days, which is x/12 pages.
- Actually, x/8 days is x/8 pages.
Because Little Ming finished reading it two days earlier, he only needed to read x/8 - x/12 = x/4 days.
Because Xiao Ming reads 8 pages a day, he needs to read x/4 days x 8 pages = x 4/5 pages.
Therefore, we can get the following equation:
x/4 - x/12 = x/5
By solving this equation, one could obtain:
x/12 = x/5 + 1/2
x/12 = (x+10)/5
x/12 = x/5 + 1/6
x/6 = 1/6
x = 1
Therefore, this storybook had one page.