Question

7. За 20 днів Максим повинен був прочитати книгу, у якій 400 сторінок, проте щодня читав на 4 сторінки менше запланованого. За скільки днів Максим прочитав книгу? ​

Answer 1

Ответ:

25 дней

Пошаговое объяснение:

1)400:20=20

2)20-4=16

3)400:16=25

Answer 2

узнаем запланированную скорость чтения, для чего разделим количество страниц на количество дней. получим 400/20=20/страниц в день/, но ежедневно он читал на 4 стр. меньше, т.е. 20-4=16/стр./, тогда Максим прочитал книгу за 400/16=25/дней/

Ответ 25 дней

Answer 3

Problem Analysis

To solve this problem, we need to determine how many days it took Maxim to read a book with 400 pages, given that he read 4 pages less than planned each day for a total of 20 days.

Solution

Let's break down the problem step by step:

1. Determine the number of pages Maxim planned to read each day. - We know that Maxim read 4 pages less than planned each day. - Let's assume he planned to read x pages each day. - Therefore, the number of pages he actually read each day can be represented as (x - 4).

2. Calculate the total number of pages Maxim read in 20 days. - Maxim read 4 pages less than planned each day for a total of 20 days. - Therefore, the total number of pages he read can be calculated as follows: 20 * (x - 4).

3. Set up an equation to solve for x. - We know that the total number of pages Maxim read is equal to 400 pages (the total number of pages in the book). - Therefore, we can set up the equation: 20 * (x - 4) = 400.

4. Solve the equation to find the value of x. - Simplifying the equation, we have: 20x - 80 = 400. - Adding 80 to both sides of the equation, we get: 20x = 480. - Dividing both sides of the equation by 20, we find: x = 24.

5. Calculate the number of days it took Maxim to read the book. - We know that Maxim read 4 pages less than planned each day. - Therefore, the number of pages he actually read each day is (x - 4) = (24 - 4) = 20 pages. - Since the book has 400 pages, it took Maxim 400 / 20 = 20 days to read the entire book.

Answer

Maxim read the book in 20 days.

Verification

Let's verify our answer using the equation we set up earlier: 20 * (x - 4) = 400.

Substituting the value of x, we have: 20 * (24 - 4) = 400.

Simplifying the equation, we get: 20 * 20 = 400.

The equation is true, which confirms that our answer is correct.