The burley tobacco quota for a given year was 304,9 million pounds. This was a reduction of 28,8% for the previous year. What was the quota for the previous year?

To find the quota for the previous year, we can use the following steps:

1. Let the quota for the previous year be \( Q \).
2. The quota for the current year is 304.9 million pounds, which represents a 28.8% reduction from the previous year.
3. This means that the current year's quota is 71.2% of the previous year's quota (since 100% - 28.8% = 71.2%).

We can express this relationship as:

\[
\text{Current Quota} = 0.712 \times Q
\]

Substitute the given values:

\[
304.9 = 0.712 \times Q
\]

Now, solve for \( Q \):

\[
Q = \frac{304.9}{0.712} \approx 428.79 \text{ million pounds}
\]

So, the quota for the previous year was approximately **428.79 million pounds**.

Would you like more details on this calculation or have any questions?

Here are 8 related questions you might consider:

1. How do percentage reductions affect future quotas in consecutive years?
2. What if the reduction was 30% instead of 28.8%? What would be the previous year's quota?
3. How can you reverse an increase in percentage to find the original value?
4. How is percentage reduction useful in real-world business scenarios?
5. What is the impact of compounding percentage reductions over multiple years?
6. Can you calculate the percentage increase required to return to the previous year's quota?
7. How do you apply percentage change in other contexts, like sales or population growth?
8. How would the calculation change if you were dealing with an increase instead of a decrease?

**Tip:** Always remember to convert percentage reductions to their decimal form before applying them to calculations.

Learn how to calculate the previous year's tobacco quota from a 28.8% reduction. Understand the relationship between percentage reductions and previous values with a step-by-step explanation. Suitable for high school students and anyone interested in percentage calculations.

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