Xiao Jun read a book and read two-thirds of the book in seven days. In the next five days, he read a total of 40 pages and just finished it. How many pages are there in this book?
Suppose the book has x pages: Seven days ago, Xiao Jun read 7 × 2/3 = 14/3 pages, which was 14/3 div7 = 4/9 pages. Xiao Jun read (x + 5) × 4/5 = x + 20/3 pages in the last 5 days. Because Xiao Jun had read a total of 40 pages, there were: 4/9 + 20/3 = x The solution was x = 360/9 + 20/3 = 480/3 pages. Therefore, this book had a total of 480/3 pages.
Xiao Xiao read a book. She read 20 pages a day. After 5 days, she still had 60% of the book left. How many pages is this book?
Assuming that this book has $n$pages and Xiaoxiao reads $20$pages a day, then she reads a total of $/frac{20/times 5}=50$pages. The rest of the books have a total of $n-50$pages, where $/frac{60}{n}$represents the proportion of the number of pages in the book. If the ratio is simplified to $\frac{60}{n}=\frac{n-50}{n}\times 100$, then $n=1200$. So this book is $1200$pages.
Xiao Dong read a book and read 24 pages a day. After 6 days, there were still 3/5 of the book that he had not read. How many pages was this book?
Assuming that the total number of pages in this book is X, then according to the information given in the title, the following equation can be written: Xiao Dong reads 24 pages a day, so he reads a total of $24/times 3 = 72$pages After 6 days, there are still 3/5 of the book left, so there are still $X <br><br><br> By equating the two equations in the system of equations, one could obtain: $$24 \times 3 = \frac{X}{5}$$ Solution: $$X = 72 \times 5 = 360$$ Therefore, the total number of pages in this book was 360.
Xiao Ming reads a book, and after 7 days, there is still 1/3 of the book left. In the next five days, he would read 60 pages in total. How many pages did Xiao Ming read on average every day?
After reading a book for 7 days, Xiao Ming still had 1/3 of the book left. This meant that he had read 1/3 of the book and the remaining 2/3 of the book needed to read 2/3 × 7 = 4/3 days. Reading a total of 60 pages in the next 5 days meant that Xiaoming had read (60/5) = 12 pages in these 5 days. Therefore, Xiaoming read an average of 12 pages a day.
Xiao Ming read a book. He read 72 pages in the first 4 days and 29 pages a day for the next 6 days. How many pages did he read on average every day?
If Xiaoming reads 72 pages in the first 4 days, then Xiaoming's total page count in the first 4 days is 72 pages. Reading 29 pages every day for the next 6 days would mean that the total number of pages for the next 6 days would be 29 pages x 6 days = 171 pages. Therefore, Little Ming's total page count in the last six days was 171 pages. Little Ming read 171 pages per day for the next 6 days, 6 days = 27 pages. Therefore, Xiao Ming read an average of 27 pages a day.
Lili read a storybook. She read 78 pages in the first 3 days and 40 pages a day in the next 4 days. how much of this book
Assuming the book has a total of n pages, Lili read 78 pages in the first 3 days, then there are still n - 3 × 78 = n - 262 pages not read. In the next four days, she read an average of 40 pages a day. In these four days, Lili read a total of 40 × 4 = 160 pages. Therefore, Lili had read a total of n - 262 + 160 = 322 pages, just enough to finish the book. So this book had 322 pages.
Xiao Hong read a book and read 15 pages a day. After 4 days, she read three-fifths of the book. How many pages does this book have?
Assuming that the book has a total of $x$pages, how many pages has Xiaohong read in 4 days? Based on the 15 pages she read every day, she read a total of $15,4 =$60 pages. Then she read three-fifths of the book, which means that she only read the $3/5 part of the book. Therefore, we can write the equation: $$60 = 3/5 \times x$$ To solve this equation, you can get $x = 60 times 5/3 = 100$. Therefore, the book had a total of 100 pages.
How many pages does Xiao Jun have in a book? He read 37 pages a day for the first three days and 99 pages a day for the next four days. How much is the average page?
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How many pages did he read when he read two-thirds of the 170 pages of the book?
The book had a total of 170 pages. Two-thirds of it was equivalent to 70 pages. The remaining three-quarters were equivalent to 40 pages. Therefore, he had read 170 pages in total, and he needed to read the remaining 40 pages twice, which was 70 pages.
Little Ming read a book. After seven days, there was still a quarter of the book left. In the next five days, he read a total of 120 pages, just enough to finish it. How much did Little Ming read on average every day?
假设这本书有 $n$ 页小明读了 $x$ 天. 根据题意小明读了 $x$ 天后这本书还剩下 $1/4$ 于全书的比例即 $\frac{1}{4}n = \frac{1}{4}x(n-x)$. 接下来小明读了 $x+7$ 天后这本书还剩下 $1/4$ 于全书的比例即 $\frac{1}{4}x(n-x) + \frac{1}{4}x^2 + \frac{1}{4}x^3 + \frac{1}{4}x^4 + \frac{1}{4}x^5 = \frac{1}{4}n$. 化简得到 $x^5 - 4x^4 + 3x^3 - 12x^2 + 25x - 4n = 0$. 这是一个由 $5$ 个方程组成的线性方程组可以通过特征值或特征方程的方法求解. 特征值计算如下: 设 $a_1 = 1$$a_2 = -2$$a_3 = -3$$a_4 = -5$$a_5 = -1$则特征方程为 $a_1^5 + a_2^4 + a_3^3 + a_4^2 + a_5^1 = 0$. 解得 $a_1 = 1$$a_2 = -2$$a_3 = -3$$a_4 = -5$$a_5 = -1$因此 $x = (-2 + 3i)(-3 + 5i)(-5 + 1i) = 3$即小明读了 $3$ 天. 因此小明读这本书平均每天读 $3$ 页.
Wang Jun read a book, 24 pages a day. He finished half of the book in six days, and then read 12 more pages a day, just in time to finish the book. The loan date of this book…
The loan period for this book was 30 days.