Question

Решите задачу. 344 кг сахара расфасовали в пакеты по 2 кг,3 кг и 5 кг. в двухкилограммовые поместилось 128 кг сахара,трёхкилограммовых пакетов получилось в 2 раза меньше,чем двухкилограммовых. Сколько получилось пятикилограммовых пакетов. Пожалуйста решите

Answer 1

128 : 2 = 64 ( пакета ) по 2 кг 
64 : 2 = 32 ( пакета ) по 3 кг 
32 х 3 = 96 ( кг ) в 3-ёх кг пакетах 
96 + 128 = 224 ( кг ) в 2-ух и 3-ёх кг пакетах
344 - 224 = 120 ( кг ) в 5-ти кг пакетах 
120 : 5 = 24 ( пакета ) по 5 кг в каждом 
Ответ 24 пакета

Answer 2

Problem Analysis

To solve this problem, we need to find the number of 5 kg packets that were obtained. We are given that 344 kg of sugar were divided into packets of 2 kg, 3 kg, and 5 kg. We also know that the number of 3 kg packets is half the number of 2 kg packets, and that 128 kg of sugar were packed into 2 kg packets.

Solution

Let's assume the number of 2 kg packets is x. Since 128 kg of sugar were packed into 2 kg packets, we can write the equation: 2x = 128.

We are also given that the number of 3 kg packets is half the number of 2 kg packets. So, the number of 3 kg packets is x/2.

The total weight of the 2 kg packets is 2x kg, and the total weight of the 3 kg packets is (x/2) * 3 kg.

The total weight of the 2 kg and 3 kg packets combined is 128 kg. So, we can write the equation: 2x + (x/2) * 3 = 128.

Simplifying the equation, we get: 4x + 3x = 256.

Combining like terms, we have: 7x = 256.

Solving for x, we find: x = 36.

Therefore, the number of 2 kg packets is 36.

Since the number of 3 kg packets is half the number of 2 kg packets, the number of 3 kg packets is 36/2 = 18.

Now, let's find the number of 5 kg packets. We know that the total weight of the sugar is 344 kg, and we have already accounted for 128 kg in the 2 kg packets and 54 kg in the 3 kg packets. So, the remaining weight is 344 - 128 - 54 = 162 kg.

Since each 5 kg packet contains 5 kg of sugar, we can find the number of 5 kg packets by dividing the remaining weight by 5: 162 / 5 = 32.4.

However, since we cannot have a fraction of a packet, we round down to the nearest whole number. Therefore, the number of 5 kg packets is 32.

Answer

The number of 5 kg packets obtained is 32.

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