https://file.aiquickdraw.com/mathbot/file/1727420761981499txktz.jpg

The task provided in the image is as follows:

### Problem:
A canning factory processed vegetables and fruits during the year, producing products in cans of different capacities, as shown in Table №2.

| Can Capacity (cm³) | 100  | 250  | 400  | 500  | 1000 | 3000 |
|--------------------|------|------|------|------|------|------|
| Output (units)      | 5000 | 1500 | 2500 | 3000 | 1200 | 400  |

### Task:
Determine the total production in *conditional cans* (with 500 cm³ as the reference unit). 

### Solution Strategy:
To convert each can's output to the equivalent number of 500 cm³ cans, we use the following formula:
\[
\text{Equivalent in 500 cm³ cans} = \left( \frac{\text{Can Capacity}}{500} \right) \times \text{Output units}
\]
We will calculate this for each capacity and then sum the results.

Let me calculate this.The total production in terms of conditional 500 cm³ cans is **11,550 units**.

Would you like further details on the calculations, or do you have any other questions?

Here are 5 related questions to expand on this:

1. How would the total production change if the reference can capacity was 1,000 cm³?
2. What is the percentage contribution of each can capacity to the total equivalent production?
3. How would the calculation change if there were different capacities not listed in the table?
4. How can this method be applied in real-world production for optimization purposes?
5. How can this approach be used to compare production efficiency across different factories?

**Tip:** When converting between different units, always ensure consistency in reference units to maintain accuracy.

A canning factory processed vegetables and fruits during the year, producing products in cans of different capacities. The task is to determine the total production in conditional cans (with 500 cm³ as the reference unit). The table provides details on the capacities and the number of units produced for each can capacity.

Solve a real-world problem by calculating the total production in terms of conditional cans (500 cm³). Understand how to convert between different can capacities using proportions and unit conversion methods. This problem is ideal for students in Grades 7-9.

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