Question

Прочитайте задачу и Ответьте на вопросы записав соответствующие числовые выражения все имеющиеся карамели разложили в три пакета в первом оказалась одна целая одна вторая килограмма а во втором на одну пятую килограмма меньше чем в первом а в третьем на одну четвертую килограмма меньше чем во втором сколько километром пакете сколько карамели в третьем пакете сколько карамели в трех пакетах

Answer 1

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Answer 2

Problem Analysis

In this problem, we are given that all the candies were divided into three packets. The first packet contains one whole candy and one second kilogram, the second packet contains one-fifth kilogram less than the first packet, and the third packet contains one-fourth kilogram less than the second packet. We need to determine the weight of each packet and the total number of candies in the three packets.

Solution

Let's denote the weight of the candies in the first packet as x kilograms.

According to the problem, the second packet contains one-fifth kilogram less than the first packet. Therefore, the weight of the candies in the second packet is x - (1/5)x kilograms.

Similarly, the third packet contains one-fourth kilogram less than the second packet. Therefore, the weight of the candies in the third packet is (x - (1/5)x) - (1/4)(x - (1/5)x) kilograms.

To find the weight of each packet, we need to simplify the expressions above.

Calculation

Let's calculate the weight of each packet step by step:

1. Weight of candies in the first packet: x kilograms. 2. Weight of candies in the second packet: x - (1/5)x = (4/5)x kilograms. 3. Weight of candies in the third packet: (x - (1/5)x) - (1/4)(x - (1/5)x) = (4/5)x - (1/4)((4/5)x) = (4/5)x - (1/4)(4/5)x = (4/5)x - (1/5)x = (3/5)x kilograms.

Therefore, the weight of the candies in the first packet is x kilograms, the weight of the candies in the second packet is (4/5)x kilograms, and the weight of the candies in the third packet is (3/5)x kilograms.

To find the total number of candies in the three packets, we need to add up the weights of the candies in each packet.

Total Number of Candies

The total number of candies in the three packets is equal to the sum of the weights of the candies in each packet.

Total number of candies = Weight of candies in the first packet + Weight of candies in the second packet + Weight of candies in the third packet

Total number of candies = x + (4/5)x + (3/5)x

Simplifying the expression:

Total number of candies = (5/5)x + (4/5)x + (3/5)x = (12/5)x

Therefore, the total number of candies in the three packets is (12/5)x.

Conclusion

In conclusion, the weight of the candies in the first packet is x kilograms, the weight of the candies in the second packet is (4/5)x kilograms, and the weight of the candies in the third packet is (3/5)x kilograms. The total number of candies in the three packets is (12/5)x.

Please note that the exact value of x is not provided in the problem statement, so we cannot determine the specific weights and total number of candies without knowing the value of x.