Question

Из за одного пакета корма работник может приготовить 3 порции еды для лисы или две порции для волка.Из одинакового числа пакетов первый работник приготовить 57 порций еды,а второй 83 порции.По сколько пакетов выдано работникам?

Answer 1

57=2*28+1<2*29=> пакетов у каждого;меньше 29
83=3*27+2>3*27=>пакетов у каждого;больше 27;=>пакетов у каждого 28
57=2*27+3*1
83=2*1+3*27
Ответ:28 пакетов

Answer 2

Calculation of the Number of Food Packets Given to Workers

To determine the number of food packets given to the workers, we need to solve a system of equations based on the information provided.

Let's assume that the first worker received x food packets, and the second worker received y food packets.

According to the given information, each food packet can be used to prepare either 3 portions of food for a fox or 2 portions of food for a wolf.

The first worker prepared a total of 57 portions of food, which means that the number of portions prepared for foxes and wolves can be expressed as follows:

- For foxes: 3 portions per packet * x packets - For wolves: 2 portions per packet * x packets

Similarly, the second worker prepared a total of 83 portions of food:

- For foxes: 3 portions per packet * y packets - For wolves: 2 portions per packet * y packets

Now we can set up the equations:

Equation 1: 3x + 2x = 57 Equation 2: 3y + 2y = 83

Simplifying the equations:

Equation 1: 5x = 57 Equation 2: 5y = 83

Solving for x and y:

x = 57 / 5 = 11.4 y = 83 / 5 = 16.6

Since the number of food packets must be a whole number, we can round up to the nearest whole number:

x ≈ 12 y ≈ 17

Therefore, the first worker was given approximately 12 food packets, and the second worker was given approximately 17 food packets.

Please note that due to rounding, the actual number of food packets given to the workers may vary slightly.