Question

Решите задачу.В трех ящиках 36 кг помидоров, причем в первом на 4 кг больше, а во втором - в два раза больше, чем в третьем. Сколько помидоров в каждом ящике?Заранее спасибо огромное.

Answer 1

Всего в 36 кг содержится 4 условных единицы и еще 4 кг. Первому и третьему ящику принадлежит по одной единице, а второму (так как он в 2 раза больше) принадлежат 2 единицы. При этом имеются еще 4 кг, которые содержатся в первом ящике ''сверх'' условной единицы. Найдем третий ящик. Для этого вычтем ''добавочные'' 4 кг из общей суммы и разделим полученное число на 4 единицы: (36 - 4) / 4 = 32 / 4 = 8 кг. Тогда во втором ящике 8 * 2 = 16 кг помидоров, а в первом 8 + 4 = 12 кг. Проверка: 12 + 16 + 8 = 36 кг. Ответ: в первом ящике 12 кг помидоров, во втором - 16 кг, а в третьем - 8 кг.

Answer 2

Problem Solving: Distributing Tomatoes in Boxes

To solve this problem, let's assign variables to represent the number of tomatoes in each box. Let's call the number of tomatoes in the first box 'x', the number of tomatoes in the second box 'y', and the number of tomatoes in the third box 'z'.

According to the problem statement, we know the following information:

1. The total weight of the tomatoes in the three boxes is 36 kg. 2. The first box has 4 kg more tomatoes than the third box. 3. The second box has twice as many tomatoes as the third box.

Let's use these pieces of information to set up equations and solve for the values of 'x', 'y', and 'z'.

Equation 1: Total weight of tomatoes

The total weight of tomatoes in the three boxes is 36 kg. We can express this as an equation: x + y + z = 36.

Equation 2: First box has 4 kg more tomatoes than the third box

The first box has 4 kg more tomatoes than the third box. We can express this as an equation: x = z + 4.

Equation 3: Second box has twice as many tomatoes as the third box

The second box has twice as many tomatoes as the third box. We can express this as an equation: y = 2z.

Now, we have a system of three equations with three variables. We can solve this system to find the values of 'x', 'y', and 'z'.

Let's substitute the value of 'x' from Equation 2 into Equation 1: (z + 4) + y + z = 36.

Next, let's substitute the value of 'y' from Equation 3 into the above equation: (z + 4) + 2z + z = 36.

Simplifying the equation: 4z + 4 = 36.

Subtracting 4 from both sides: 4z = 32.

Dividing both sides by 4: z = 8.

Now that we have the value of 'z', we can substitute it back into Equations 2 and 3 to find the values of 'x' and 'y'.

From Equation 2: x = z + 4 = 8 + 4 = 12.

From Equation 3: y = 2z = 2 * 8 = 16.

Therefore, the number of tomatoes in each box is as follows: - The first box contains 12 tomatoes. - The second box contains 16 tomatoes. - The third box contains 8 tomatoes.

I hope this helps! Let me know if you have any further questions.