Question

В двух ящиках было 55 кг печенья. Когда из первого ящика переложили во второй одну третьей массы содержащегося в нем печенья, то в первом ящике осталось на 5 кг больше, чем стало во втором. сколько было в каждом ящике кг сначала

Answer 1

Вчера решала эту задачу.В 1 ящике было х килограммов печенья,стало х-1/3х=2/3хкг печенья.
Тогда во 2 ящике было укг,стало у+1/3хкг печенья 
2/3х-у-1/3х=5⇒1/3х-у=5
х+у=55
Прибавим уравнения
1 1/3х=60
х=60:1 1/3=60*3/4=45кг было в 1
у=55-45=10кг-было во 2 ящике. Так?

Answer 2

Problem Analysis

We are given that there are two boxes containing a total of 55 kg of cookies. When one-third of the cookies from the first box are transferred to the second box, the first box ends up with 5 kg more than the second box. We need to determine the initial amount of cookies in each box.

Solution

Let's assume the initial amount of cookies in the first box is x kg. Therefore, the initial amount of cookies in the second box is 55 - x kg.

According to the problem, when one-third of the cookies from the first box are transferred to the second box, the first box ends up with 5 kg more than the second box. This can be expressed as:

x - (1/3)x = (55 - x) + 5

Simplifying the equation:

2/3x = 60 - x

Multiplying both sides by 3 to eliminate the fraction:

2x = 180 - 3x

Adding 3x to both sides:

5x = 180

Dividing both sides by 5:

x = 36

Therefore, the initial amount of cookies in the first box is 36 kg, and the initial amount of cookies in the second box is 55 - 36 = 19 kg.

Answer

The initial amount of cookies in the first box was 36 kg, and the initial amount of cookies in the second box was 19 kg.