The U.S. produces about 5.5 million tons of apples each year. Of the total, $20\%$ is mixed with other products, with $50\%$ of the remainder used for apple juice and the other $50\%$ sold fresh. How many million tons of apples are used for apple juice? Express your answer as a decimal to the nearest tenth.
I need to find out what fraction of the total apple production is used for apple juice. Since $20\%$ is mixed with other products, that means $80\%$ is either used for juice or sold fresh. Half of that $80\%$ is used for juice, so the fraction of the total used for juice is $\frac{1}{2} \times 0.8 = 0.4$. To get the amount in million tons, I need to multiply the fraction by the total. That gives me $0.4 \times 5.5 = 2.2$ million tons of apples used for juice. Rounding to the nearest tenth, I get 2.2 as my final answer. 