Required Mathematical Intelligence

Chapter 2 Weighing Apples

There are ten baskets of apples, ten in each basket, a total of 100, the weight of the apples in each basket is the same, and the weight of each apple in nine baskets is 1 catties, and the weight of each apple in the other basket is 0.9 kg. It is [-] catties, but the appearance is exactly the same, and it is impossible to tell the difference by seeing or touching.Now I want you to use an ordinary large scale to find out the light weight of this basket one at a time.

[Answer: Number ten baskets of apples from 1 to 10, and take out different numbers of apples from each basket according to the number of each basket. 1)×1/5=5 pieces.If each apple weighs 1 catty, the total should be 10 catties.Due to the light weight of one basket, it is impossible to reach 10 catties, but only between 2-55 catties.If the weighing result is x taels less than 1 catties, the lighter weight must be the basket numbered x.In fact, for the convenience of weighing, the tenth basket of apples may not be taken, a total of 55 apples, up to 55 catties.If the weighing result is exactly 54 catties, it means that the tenth basket is light.Otherwise, a few taels less means that the apples in the basket numbered a few are light.

Many people thought that there was no solution to this question at first, and they thought it was reasonable after being told the answer. ]
(End of this chapter)