Question
3 Ramon makes nectar for a hurnmingbird feeder by mixing 8 cups of water with 2 cups of sugar. Tiffany makes nectar by mixing 9 cups of water with 3 cups of sugar. Whose nectar is more sugary? Explain.
Ask by Garrett Salazar. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Tiffany's nectar is more sugary because it has a higher sugar concentration compared to Ramon's.
Solution
To determine whose nectar is more sugary, we can compare the **sugar concentration** in each mixture. Here's how:
### **Ramon's Nectar:**
- **Water:** 8 cups
- **Sugar:** 2 cups
- **Total Mixture:** 8 + 2 = **10 cups**
- **Sugar Concentration:** \( \frac{2 \text{ cups sugar}}{10 \text{ cups total}} = 0.20 \) or **20%**
### **Tiffany's Nectar:**
- **Water:** 9 cups
- **Sugar:** 3 cups
- **Total Mixture:** 9 + 3 = **12 cups**
- **Sugar Concentration:** \( \frac{3 \text{ cups sugar}}{12 \text{ cups total}} = 0.25 \) or **25%**
### **Comparison:**
- **Ramon's Nectar:** 20% sugar concentration
- **Tiffany's Nectar:** 25% sugar concentration
Since **25%** is greater than **20%**, **Tiffany's nectar is more sugary** than Ramon’s.
**Conclusion:** Tiffany's nectar has a higher sugar concentration, making it more sugary compared to Ramon’s mixture.
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Bonus Knowledge
Did you know that the sugar-to-water ratio is key for hummingbird feeders? In Ramon's mixture, the ratio is 2 cups of sugar to 8 cups of water, which simplifies to 1:4. In Tiffany's, she uses 3 cups of sugar to 9 cups of water, or a 1:3 ratio. This means Tiffany's nectar is sweeter since she has more sugar for the same amount of water! When it comes to mixing nectar, one common mistake is using too much sugar. It may seem good for the birds, but extreme sugar concentrations can be harmful, causing fermentation. Always stick to a 1:4 or 1:3 ratio to ensure that the nectar is safe and enjoyable for those little winged visitors!
