Question

В трех ящиках 54 кг яблок. В первом ящике на 12 кг меньше, чем во втором, а в третьем в 2 раза больше чем в третьем. Сколько килограмм яблок в каждом ящике?

Answer 1

1 ящ   х  (кг)
2 ящ   х+12  (кг)
3 ящ  2х  (кг)
Так как по условию в трех ящиках было 54 кг яблок, то составляем уравнение:
х+(х+12)+2х=54
4х=54-12
4х=42
х=10,5 ( кг)  яблок в первом ящике
10,5+12=22,5 кг  -- во втором
2*10,5= 21 кг -- в третьем

Answer 2

Пусть х - в первом ящике, тогда во 2 - (х+12), а в третьем - (х+12)*2. Всего 54 кг яблок. 
Составим и решим уравнение 
х+(х+12)+2(х+12)=54
х+х+12+2х+24=54
4х=54-12-24
4х=18
х=4,5
Если х=4,5, тогда в первом 4,5 кг
во втором 4,5+12=16,5
в третьем 16,5*2=33
Ответ: 4,5; 16,5; 33

Answer 3

Solving for the Weight of Apples in Each Box

To solve for the weight of apples in each box, we can use the information provided in the question and apply basic algebraic principles.

Let's denote: - The weight of apples in the first box as x kg, - The weight of apples in the second box as y kg, and - The weight of apples in the third box as z kg.

Given: 1. The total weight of apples in the three boxes is 54 kg. 2. The weight of apples in the first box is 12 kg less than the weight in the second box. 3. The weight of apples in the third box is twice the weight in the second box.

We can express these relationships as equations and solve for the weights in each box.

Formulating the Equations

1. x + y + z = 54 (Total weight of apples in the three boxes is 54 kg) 2. x = y - 12 (The weight of apples in the first box is 12 kg less than the weight in the second box) 3. z = 2y (The weight of apples in the third box is twice the weight in the second box)

Solving the Equations

We can use the second and third equations to express x and z in terms of y and then substitute these expressions into the first equation to solve for y.

From equation 2: x = y - 12 From equation 3: z = 2y

Substitute x and z into the first equation: (y - 12) + y + 2y = 54 4y - 12 = 54 4y = 66 y = 16.5

Now that we have found the value of y, we can substitute it back into the equations to find x and z.

Calculating the Weights

1. x = y - 12 x = 16.5 - 12 x = 4.5

2. z = 2y z = 2 * 16.5 z = 33

Conclusion

Therefore, the weights of apples in each box are: - 4.5 kg in the first box, - 16.5 kg in the second box, and - 33 kg in the third box.