Question

Помогите решить задачу срочно: имеется три мешка с монетами.В двух из них настоящие монеты,массой 10г каждая,а в одном фальшивые монеты,массой 9г каждая .Есть весы ,показывающие общую массу положенных на них монет.Как с помощью одного взвешивания определить ,в каком мешке фальшивые монеты,если из можно брать любое число монет?

Answer 1

возьми из любых 2 мешков одиннкаковое кол-во монет. если они по весы равные то фальшивые в 3 мешке, если же одна сторона легче другой, то они фальшивые.

Answer 2

Problem Description

You have three bags of coins. Two of the bags contain real coins, each weighing 10 grams, while one bag contains fake coins, each weighing 9 grams. You have a set of scales that can measure the total weight of the coins placed on them. Your task is to determine which bag contains the fake coins using only one weighing.

Solution

To solve this problem, you can follow these steps:

1. Take one coin from the first bag, two coins from the second bag, and three coins from the third bag. Place all these coins on the scales. 2. If all the coins were real, the total weight on the scales would be 10 + 20 + 30 = 60 grams. 3. However, since the fake coins weigh 9 grams each, the total weight on the scales will be 60 - 3 = 57 grams if the first bag contains the fake coins. 4. If the second bag contains the fake coins, the total weight on the scales will be 60 - 6 = 54 grams. 5. Finally, if the third bag contains the fake coins, the total weight on the scales will be 60 - 9 = 51 grams.

By comparing the total weight on the scales with the expected weights for each bag, you can determine which bag contains the fake coins. Here are the possible outcomes:

- If the total weight is 57 grams, then the first bag contains the fake coins. - If the total weight is 54 grams, then the second bag contains the fake coins. - If the total weight is 51 grams, then the third bag contains the fake coins.

By using this method, you can determine which bag contains the fake coins with just one weighing.