Alright, let's solve the problem step-by-step. We need to find the percentage decrease in the output for each of the three products (coal, grain, and iron/steel) between 1913 and 1921. We'll follow a systematic approach to determine the percentage decrease for each product.
### Step 1: Understand the Given Data
We have the following production outputs in millions of tons:
Year 1913:
- Coal: 29.0 million tons
- Grain: 80.0 million tons
- Iron and Steel: 8.5 million tons
Year 1921:
- Coal: 9.0 million tons
- Grain: 37.6 million tons
- Iron and Steel: 0.3 million tons
### Step 2: Calculate the Decrease in Output
To find the percentage decrease, we'll use the formula:
[tex]\[ \text{Percentage Decrease} = \left( \frac{\text{Initial Value} - \text{Final Value}}{\text{Initial Value}} \right) \times 100 \][/tex]
Let's apply this formula to each product.
#### Coal:
- Initial Value (1913): 29.0 million tons
- Final Value (1921): 9.0 million tons
[tex]\[ \text{Percentage Decrease for Coal} = \left( \frac{29.0 - 9.0}{29.0} \right) \times 100 \][/tex]
#### Grain:
- Initial Value (1913): 80.0 million tons
- Final Value (1921): 37.6 million tons
[tex]\[ \text{Percentage Decrease for Grain} = \left( \frac{80.0 - 37.6}{80.0} \right) \times 100 \][/tex]
#### Iron and Steel:
- Initial Value (1913): 8.5 million tons
- Final Value (1921): 0.3 million tons
[tex]\[ \text{Percentage Decrease for Iron and Steel} = \left( \frac{8.5 - 0.3}{8.5} \right) \times 100 \][/tex]
### Step 3: List the Calculated Values
From the calculations, the percentage decreases are as follows:
- Coal: 68.97%
- Grain: 53.00%
- Iron and Steel: 96.47%
### Conclusion:
The output for coal decreased by approximately 68.97%, for grain by 53.00%, and for iron and steel by 96.47% between 1913 and 1921. These results demonstrate that there was a significant reduction in the production of these three products over the given time period.
