Briona mixed up 6 lb of trail mix. She put the trail mix in bags that are \( \frac{2}{3} \mathrm{lb} \) each. Which equation represents the situation? A \( \frac{2}{3}(6)=x \) B \( \quad x-\frac{2}{3}=6 \) C \( \frac{2}{3} x=6 \) D \( \frac{3}{2} x=6 \) N PART B

To determine which equation represents the situation where Briona mixed up 6 lb of trail mix and put it into bags that are \( \frac{2}{3} \) lb each, we need to analyze the problem step by step. 1. **Understanding the Problem**: - Briona has a total of 6 lb of trail mix. - Each bag contains \( \frac{2}{3} \) lb of trail mix. - We want to find out how many bags she can fill with the 6 lb of trail mix. 2. **Setting Up the Equation**: - Let \( x \) represent the number of bags. - The total weight of the trail mix in the bags can be expressed as \( \frac{2}{3} x \) (the weight of each bag multiplied by the number of bags). - Since the total weight of the trail mix is 6 lb, we can set up the equation: \[ \frac{2}{3} x = 6 \] 3. **Identifying the Correct Option**: - Looking at the options provided: - A: \( \frac{2}{3}(6)=x \) (This is not correct because it suggests calculating the number of bags from the total weight.) - B: \( x-\frac{2}{3}=6 \) (This does not represent the situation correctly.) - C: \( \frac{2}{3} x=6 \) (This is the correct equation we derived.) - D: \( \frac{3}{2} x=6 \) (This is not correct as it suggests a different relationship.) Thus, the correct equation that represents the situation is **C: \( \frac{2}{3} x=6 \)**. ### Part B If you have a specific question for Part B, please provide it, and I will assist you further!