Question
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?
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?
Ask by Burgess Spencer. in the United States
Dec 19,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
Nora has a greater ratio of taffy to total candy pieces compared to Megan.
Solution
To determine who has a greater ratio of taffy to total candy pieces, let’s compare the proportions for both Megan and Nora.
Megan’s Taffy Ratio:
- Taffy Pieces: 20
- Total Candy Pieces: 50
- Ratio:
(or 40%)
Nora’s Taffy Ratio:
- Taffy Pieces: 11
- Total Candy Pieces: 25
- Ratio:
(or 44%)
Comparison:
- Megan: 40% of her candies are taffy.
- Nora: 44% of her candies are taffy.
Conclusion: Nora has a greater ratio of taffy to total candy pieces compared to Megan.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution The Deep Dive
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!
