In 2010 , the average per-person annual consumption of cheese was 33.2 pounds, up $10.7 \%$ from 2000 . What was the average per-person annual consumption of cheese in 2000?
In 2000, the average per-person annual consumption of cheese was pounds. (Type an integer or decimal rounded to one decimal place as needed.)
Answer
Final Answer: The average per-person annual consumption of cheese in 2000 was approximately \(\boxed{29.99}\) pounds.
Step 1 ：We are given that in 2010, the average per-person annual consumption of cheese was 33.2 pounds, which was 10.7% more than in 2000. We are asked to find the average per-person annual consumption of cheese in 2000.
Step 2 ：Let's denote the consumption in 2000 as x. Then, we have the equation \(x + 0.107x = 33.2\).
Step 3 ：Solving this equation, we get \(x = \frac{33.2}{1.107}\).
Step 4 ：Calculating the above expression, we get \(x \approx 29.99\).
Step 5 ：This represents the average per-person annual consumption of cheese in 2000.
Step 6 ：Final Answer: The average per-person annual consumption of cheese in 2000 was approximately \(\boxed{29.99}\) pounds.
