Question

В двух ящиках 69 кг деталей.Масса деталей в одном ящике составляет половину массы деталей в другом ящике.Найди массу деталей в каждом ящике.

Answer 1

1 ящик х кг деталей
2 ящик  1/2 * х деталей
Всего  69 кг деталей в двух ящиках

х+1/2х=69
1,5х=69
х=69/1,5
х=690/15
х= 46 кг в 1 ящике

46*0,5 = 23 кг во 2 ящике

Answer 2

Solution:

Let's denote the mass of the details in the first box as x kg and the mass of the details in the second box as y kg.

Given that the total mass of the details in both boxes is 69 kg, we can write the equation: x + y = 69 We are also given that the mass of the details in one box is half the mass of the details in the other box. This can be expressed as: x = (1/2)y Now we can solve these two equations to find the masses of the details in each box.

Solving the Equations:

Substitute the value of x from equation 2 into equation 1: (1/2)y + y = 69 (3/2)y = 69 y = 69 * (2/3) y = 46

Now, substitute the value of y back into equation 2 to find x: x = (1/2) * 46 x = 23

Answer:

So, the mass of the details in the first box is 23 kg and the mass of the details in the second box is 46 kg.