Question
fred made colorful glitter glue to decorate posters for his schools spring dance. to make red glitter glue, he used 2 cups of glitter and 6 cups of glue. to make gold glitter glue, he used 3 cups of glitter and 9 cups of glue. which color of glitter glue had a greater ratio of glitter to glue?
a. the red glitter glue
b. the gold glitter glue
c. neither both had the same ratio
a. the red glitter glue
b. the gold glitter glue
c. neither both had the same ratio
Answers
GPT-4o mini
To determine which color of glitter glue had a greater ratio of glitter to glue, we can calculate the ratio for both the red and gold glitter glue.
1. **Red Glitter Glue:**
- Glitter: 2 cups
- Glue: 6 cups
- Ratio of glitter to glue = Glitter / Glue = \( \frac{2}{6} = \frac{1}{3} \)
2. **Gold Glitter Glue:**
- Glitter: 3 cups
- Glue: 9 cups
- Ratio of glitter to glue = Glitter / Glue = \( \frac{3}{9} = \frac{1}{3} \)
Now we can compare the ratios:
- Red Glitter Glue ratio: \( \frac{1}{3} \)
- Gold Glitter Glue ratio: \( \frac{1}{3} \)
Both ratios are the same.
Therefore, the answer is: **c. neither both had the same ratio.**
1. **Red Glitter Glue:**
- Glitter: 2 cups
- Glue: 6 cups
- Ratio of glitter to glue = Glitter / Glue = \( \frac{2}{6} = \frac{1}{3} \)
2. **Gold Glitter Glue:**
- Glitter: 3 cups
- Glue: 9 cups
- Ratio of glitter to glue = Glitter / Glue = \( \frac{3}{9} = \frac{1}{3} \)
Now we can compare the ratios:
- Red Glitter Glue ratio: \( \frac{1}{3} \)
- Gold Glitter Glue ratio: \( \frac{1}{3} \)
Both ratios are the same.
Therefore, the answer is: **c. neither both had the same ratio.**