Question

10. Лайло приготовила равное количество печений для каждого из своих 5 детей. Но младший ребёнок отказался есть, поэтому Лайло одно печенье съела сама, а остальные поровну разделила между другими детьми. Количество печений больше 10, но меньше 40. Найдите, сколько всего печений было приготовлено.​

Answer 1

Ответ:

25

Пошаговое объяснение:

т.к печений было больше 10 но меньше 40

то печений могло быть только: 15, 20, 25, 30 или 35

по этому методом подбора можно определить что печений было

Answer 2

Problem Analysis

Layla prepared an equal number of cookies for each of her 5 children. However, the youngest child refused to eat, so Layla ate one cookie herself and divided the rest equally among the other children. The number of cookies is more than 10 but less than 40. We need to find the total number of cookies that were prepared.

Solution

Let's assume the number of cookies Layla prepared is 'x'. Since she ate one cookie herself, there are 'x-1' cookies left. These cookies are divided equally among the other 4 children, so each child receives '(x-1)/4' cookies.

According to the problem, the number of cookies is more than 10 but less than 40. Therefore, we can set up the following inequality:

10 < (x-1)/4 < 40

To solve this inequality, we can multiply all parts of the inequality by 4 to eliminate the fraction:

40 < x-1 < 160

Next, we can add 1 to all parts of the inequality:

41 < x < 161

Since the number of cookies must be an integer, we can conclude that the total number of cookies prepared by Layla is between 41 and 160, inclusive.

Therefore, the total number of cookies that were prepared is between 41 and 160.

Answer

The total number of cookies that were prepared by Layla is between 41 and 160.