Question

В торговой палатке муку рассыпали в 8 одинаковых пакетов, а сахар - в 6 таких же пакетов. Известно, что сахара было на 10 кг меньше. Сколько кг муки и сколько сахара было в торговой палатке.

Answer 1

1) 8 – 6 = 2 (пак.) – приходится на 10 кг.
2) 10 : 2 = 5 (кг) – вмещается в один пакет.
3) 8 ∙ 5 = 40 (кг) – количество муки.
4) 6 ∙ 5 = 30 (кг) – количество сахара.
Ответ: 40 кг муки и 30 кг сахара.

Answer 2

Calculation of the Amount of Flour and Sugar in the Tent

To calculate the amount of flour and sugar in the tent, we need to use the information provided in the question.

It is given that the flour was divided into 8 equal packets, and the sugar was divided into 6 equal packets. Additionally, it is mentioned that there was 10 kg less sugar compared to flour.

Let's assume that each packet of flour contains f kg, and each packet of sugar contains s kg.

From the given information, we can form the following equations:

1. The total amount of flour is equal to the weight of each packet multiplied by the number of packets: 8f kg. 2. The total amount of sugar is equal to the weight of each packet multiplied by the number of packets: 6s kg. 3. The weight of sugar is 10 kg less than the weight of flour: 8f - 10 = 6s.

To solve these equations, we can use substitution or elimination methods. Let's use the substitution method:

From equation 3, we can express s in terms of f:

s = (8f - 10) / 6.

Substituting this value of s into equation 2, we get:

6((8f - 10) / 6) = 6s.

Simplifying this equation, we find:

8f - 10 = 6s.

Now, we can substitute the value of s from equation 3 into this equation:

8f - 10 = 6((8f - 10) / 6).

Simplifying further, we have:

8f - 10 = 8f - 10.

This equation shows that both sides are equal, meaning that there are infinitely many solutions. Therefore, we cannot determine the exact weight of flour and sugar in the tent based on the given information.

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