Question

На гранях игрального кубика написаны числа от 1 до 6 (каждое из них встречается по одному разу). Петя бросил несколько игральных кубиков и набрал 5 очков, Вася бросил те же кубики и набрал 25 очков. Сколько могло быть кубиков ?

Answer 1

Ответ:

Могло быть двенадцать очков.

Answer 2

Number of Dice

To determine the number of dice that Petya and Vasya could have rolled to achieve their respective scores, we need to consider the total number of points they each obtained.

Petya rolled a total of 5 points, while Vasya rolled a total of 25 points. Since each die has numbers from 1 to 6, we can calculate the possible combinations of dice that would result in these scores.

Let's analyze the possibilities:

1. Petya's score of 5: - Petya could have rolled a single die and obtained a 5. - Petya could have rolled two dice and obtained a combination of numbers that sum up to 5. However, since the maximum number on a single die is 6, it is not possible to obtain a sum of 5 with two dice. - Therefore, Petya must have rolled a single die to obtain a score of 5.

2. Vasya's score of 25: - Vasya could have rolled four dice and obtained a combination of numbers that sum up to 25. For example, Vasya could have rolled 6, 6, 6, and 7. - Vasya could have rolled five dice and obtained a combination of numbers that sum up to 25. For example, Vasya could have rolled 5, 5, 5, 5, and 5. - Vasya could have rolled six dice and obtained a combination of numbers that sum up to 25. For example, Vasya could have rolled 4, 4, 4, 4, 4, and 5. - Vasya could have rolled seven dice and obtained a combination of numbers that sum up to 25. For example, Vasya could have rolled 3, 3, 3, 3, 3, 3, and 7. - Vasya could have rolled eight dice and obtained a combination of numbers that sum up to 25. For example, Vasya could have rolled 2, 2, 2, 2, 2, 2, 2, and 11. - Vasya could have rolled nine dice and obtained a combination of numbers that sum up to 25. For example, Vasya could have rolled 1, 1, 1, 1, 1, 1, 1, 1, and 17. - Therefore, Vasya could have rolled any number of dice from four to nine to obtain a score of 25.

In conclusion, Petya must have rolled a single die to obtain a score of 5, while Vasya could have rolled any number of dice from four to nine to obtain a score of 25.