Question

Имеется несколько наборов из пяти карточек каждый. На каждой карте из набора цифра от 1 до 5 (в наборе цифры не повторяются). Карты из всех наборов раздаются между пятью игроками поровну в произвольном порядке. Каждый игрок вычислил сумму цифр на своих картах, у каждого она оказалась равной 90. Сколько комплектов карт было изначально?

Answer 1

1) 90x5=450 - общая сумма чисел в карточках всех игроков 2) 450/15=30, где 15 - сумма число одного набора карт Ответ 30 наборов.

Answer 2

This is a mathematical problem that requires some logical reasoning. Here is how I would solve it:

- First, I would find the sum of the digits from 1 to 5, which is 15. This means that each set of five cards has a total of 15 points. - Next, I would divide the sum of the points of each player by the number of cards they have, which is 90 / 5 = 18. This means that each player has an average of 18 points per card. - Then, I would compare the average points per card with the possible values of the cards, which are 1, 2, 3, 4, and 5. I would notice that the only way to get an average of 18 is to have one card of each value, since 18 = (1 + 2 + 3 + 4 + 5) / 5. - Finally, I would conclude that each player has one card from each set of cards, and that there are as many sets of cards as there are players. Therefore, the number of sets of cards is 5.