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?

2024-09-13 12:39

1 answer

2024-09-13 15:18

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?

1 answer

2024-09-14 19:45

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.

Xiao Ming reads a book. He reads 1/13 of the book every day. After 4 days, there are 90 pages left. How many pages are there in this book?

1 answer

2024-09-16 12:07

Assuming that the book has $x$pages, the number of pages that Xiaoming reads on the fourth day is $x$multiplied by $1/13$. Because Xiao Ming had read for 4 days, the number of pages he read plus the remaining pages equals the total number of pages: $$ x + (x \times 1/13) + 90 = x $$ To simplify it: $$ x \times 12 - x \times 1/13 + 90 = 0 $$ Solve this equation: $$ x = 130 $$ Therefore, the book had a total of 130 pages.

Little Ming read a book. He read 15 pages in the first 4 days and 6 pages a day in the next 5 days. How many pages did he read on average every day?

1 answer

2024-09-16 12:50

Xiao Ming read a book for the first 4 days and read 15 pages, then read 6 pages every day for 5 days. We can use the following formula to calculate the average number of pages seen per day: Average number of pages read per day = total number of pages/days Substituting the total number of pages and the number of days into the formula, we get: Average number of pages read per day = 15 pages/4 days = 3 pages/day Therefore, Xiao Ming read an average of three pages a day.

A book had a total of 260 pages, and Xiao Ming had already read 80 pages. He had to finish the rest in five days. How many pages did he read on average every day?

1 answer

2024-09-10 12:07

Xiao Ming needed to finish reading the remaining 260 pages in 5 days, so he needed to read 260 pages per day divided by 5 days = 52 pages.

A storybook had 156 pages. Xiao Ming read it for three days and there were still 12 pages left. How many pages does Xiao Ming read on average every day? [Solution to the equation]

1 answer

2024-09-16 11:22

Suppose Xiaoming reads an average of x pages every day: The total number of pages read in 3 days is:3 × 156 = 458 pages Look at the remaining pages:12 pages Therefore, the equation could be written: 458 - 12 = x + 156 Solve the equation: x = 220 Therefore, Xiao Ming reads an average of 220 pages a day.

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?

1 answer

2024-09-13 12:36

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。

Xiao Ming read a book and read 15 pages a day. After reading for 4 days, he still had 2/5 of the book left. How many pages does this book have?

1 answer

2024-09-16 18:13

Xiao Ming read a total of $4/15 = 60$pages in 4 days. The remaining pages are $2/5$of the book, so the book has a total of $2/5/60 = 48$. Thus, the book had a total of 48 pages.

A novel had a total of 336 pages, and Xiao Ming was prepared to finish it in eight days. How many pages would he read on average every day?

1 answer

2024-09-12 16:30

The total number of pages Xiao Ming needed to read was 336. He needed to read for 8 days, so the total number of pages he needed to read every day was: 336 pages/8 days = 40 pages/day Therefore, Xiao Ming had to read an average of 40 pages a day.

Xiao Ming reads a book. If he reads 15 pages a day, he will finish it in 24 days. If he reads 20 pages a day, how many days will he finish it?

1 answer

2024-09-16 12:52

If Xiao Ming reads 15 pages a day, the total number of pages he needs is: 15 pages/day x 24 days = 360 pages Therefore, Xiao Ming needed to read 360 pages to finish it in 24 days. The number of days required to read 20 pages a day is: 20 pages/day x days = 20 days Therefore, Xiao Ming needed to read for 20 days to finish the book.

Xiao Ming reads a book with 132 pages. After reading for 5 days, there are 72 pages left.(2) If you can only borrow it for 9 days, how many pages do you read on average every day from the 6th day onwards?

1 answer

2024-09-16 11:00

Xiao Ming reads a book with a total of 132 pages. After reading for 5 days, there are still 72 pages left. The total number of pages that Xiao Ming reads is 132 - 72 = 60 pages. If he could only borrow it for 9 days, then the total number of pages Little Ming needed to borrow was 60 pages/9 days = 6 pages/day. From the sixth day onwards, he read an average of 6 pages per day x 9 days = 54 pages. Answer 2: Assuming that from the first day onwards, Xiaoming reads x pages every day, then after he reads the number of pages borrowed in the previous 9 days, Xiaoming still needs to borrow 132 pages- 9 days x x pages = 132 pages- 9x pages. Therefore, we can write the equation: 132 pages- 9x pages = 1 page Solve this equation: 8x pages = 132 pages-9x pages = 23 pages x pages = 3 pages Therefore, Xiao Ming needed to read 3 pages/day, which was 9 pages, on the 6th day.