Final answer:
The ratio of chocolate pieces to sugar pieces in the bag of candy is 3:2.
Step-by-step explanation:
The ratio of chocolate pieces to sugar pieces is expressed as 9:6, as stated in the problem. To simplify this ratio, we look for the greatest common factor between 9 and 6, which is 3. Dividing both parts of the ratio by 3, we get the simplified ratio of 3:2.
This means that for every three chocolate pieces, there are two sugar pieces in the bag of candy. The process of simplifying ratios ensures a clearer representation of the relationship between the two quantities. In this case, the simplified ratio 3:2 provides a more concise and understandable expression of the chocolate-to-sugar ratio in the candy bag.