Megan and her little sister, Nora, counted their Halloween candy after trick-or-treating. They love taffy and wanted to know who collected more taffy pieces compared to the rest of the candy. In Megan's bag, 20 out of the 50 candy pieces were taffy. In Nora's bag, 11 out of the 25 pieces were taffy. Who got the greater ratio of taffy to total candy pieces?

To find out who had the greater ratio of taffy to total candy, we can calculate the ratio for both Megan and Nora. For Megan, the ratio of taffy is 20 taffy pieces out of 50 total pieces, which simplifies to 20/50 = 0.4 or 40%. For Nora, the ratio is 11 taffy pieces out of 25 total pieces, which simplifies to 11/25 = 0.44 or 44%. So, Nora collected a greater ratio of taffy to total candy! Interestingly, these kinds of comparisons can lead to unexpected results, especially in situations where one quantity seems larger than another. In this case, even though Megan collected more taffy, Nora had a higher percentage relative to her total candy. These types of mathematical explorations can come in handy for making fair comparisons in all kinds of situations, like deciding who had the most successful haul on Halloween or even calculating percentages in everyday life!