Question

1) У торговца есть весы с двумя чашками,гиря весом 1кг,мешок сахара,мешок соли и достаточный запаз невесомых пакетов.Как ему за 3 взвешивания отвесить покупателю 2 кг сахара и 5кг соли?2) Разрежьте каждый из двух квадратов 3*3 и 4*4 на две части так, чтобы из полученных четырех кусков можно было сложить квадрат 5*5. Покажите как нужно разрезать и как складывать./* - квадрат 3*3 - это квадрат 3 клетки на три (так и с остальными)

Answer 1

Взвешиваем 1 кг соли
потом 2кг сахара
потом 4кг сахара
во вором и третьем случае с помощью гири и уже всего набраного

Answer 2

1) To weigh 2 kg of sugar and 5 kg of salt using the merchant's scales and the available weights, the merchant can follow these steps:

- Step 1: Place the 1 kg weight on one side of the scale and the bag of sugar on the other side. This will balance the scale at 1 kg. - Step 2: Remove the 1 kg weight and place it aside. - Step 3: Add the bag of salt to the side of the scale where the sugar was previously placed. The scale will now show a weight of 5 kg.

By following these steps, the merchant can weigh 2 kg of sugar and 5 kg of salt using only 3 weighings.

2) To cut each of the two squares, one measuring 3x3 and the other measuring 4x4, into two parts each so that the resulting four pieces can be rearranged to form a 5x5 square, you can follow these steps:

- For the 3x3 square: - Cut the square vertically through the middle, dividing it into two 3x1 rectangles. - Cut one of the 3x1 rectangles horizontally through the middle, creating two 1x1 squares. - Cut the other 3x1 rectangle horizontally through the middle, creating two 1x2 rectangles. - Arrange the pieces to form a 5x5 square.

- For the 4x4 square: - Cut the square vertically through the middle, dividing it into two 4x2 rectangles. - Cut one of the 4x2 rectangles horizontally through the middle, creating two 2x2 squares. - Cut the other 4x2 rectangle horizontally through the middle, creating two 2x4 rectangles. - Arrange the pieces to form a 5x5 square.

By following these steps, you can cut the 3x3 and 4x4 squares into four pieces each and rearrange them to form a 5x5 square.

Please let me know if you need any further clarification or assistance!