Question
A party coordinator is making gift bags. Each bag is to filled with pencils and stickers. The party coordinator has 24 pencils and 36 stickers to use.
For example, she could make 2 bags with 12 pencils and 18 stickers each.
Select four other possibilities?
A. 3 bags with 8 pencils and 12 stickers
B. 3 bags with 10 pencils and 10 stickers
C. 4 bags with 6 pencils and 9 stickers
D. 5 bags with 6 pencils and 6 stickers
E. 6 bags with 4 pencils and 6 stickers
F. 12 bags with 2 pencils and
For example, she could make 2 bags with 12 pencils and 18 stickers each.
Select four other possibilities?
A. 3 bags with 8 pencils and 12 stickers
B. 3 bags with 10 pencils and 10 stickers
C. 4 bags with 6 pencils and 9 stickers
D. 5 bags with 6 pencils and 6 stickers
E. 6 bags with 4 pencils and 6 stickers
F. 12 bags with 2 pencils and
Answers
GPT-4o mini
To determine the different possibilities for the gift bags with the constraints of 24 pencils and 36 stickers, we need to ensure that the number of pencils and stickers used per bag allows for whole numbers of bags while also exhausting the available supplies.
Here are the calculations for each option:
1. **Option A: 3 bags with 8 pencils and 12 stickers each**
- Total pencils used = 3 bags * 8 pencils/bag = 24 pencils
- Total stickers used = 3 bags * 12 stickers/bag = 36 stickers
- This is a valid option.
2. **Option B: 3 bags with 10 pencils and 10 stickers each**
- Total pencils used = 3 bags * 10 pencils/bag = 30 pencils (not valid, exceeds 24 pencils)
- This is NOT a valid option.
3. **Option C: 4 bags with 6 pencils and 9 stickers each**
- Total pencils used = 4 bags * 6 pencils/bag = 24 pencils
- Total stickers used = 4 bags * 9 stickers/bag = 36 stickers
- This is a valid option.
4. **Option D: 5 bags with 6 pencils and 6 stickers each**
- Total pencils used = 5 bags * 6 pencils/bag = 30 pencils (not valid, exceeds 24 pencils)
- This is NOT a valid option.
5. **Option E: 6 bags with 4 pencils and 6 stickers each**
- Total pencils used = 6 bags * 4 pencils/bag = 24 pencils
- Total stickers used = 6 bags * 6 stickers/bag = 36 stickers
- This is a valid option.
6. **Option F: 12 bags with 2 pencils and 3 stickers each**
- Total pencils used = 12 bags * 2 pencils/bag = 24 pencils
- Total stickers used = 12 bags * 3 stickers/bag = 36 stickers
- This is a valid option.
Based on this analysis, the valid options are:
- A: 3 bags with 8 pencils and 12 stickers
- C: 4 bags with 6 pencils and 9 stickers
- E: 6 bags with 4 pencils and 6 stickers
- F: 12 bags with 2 pencils and 3 stickers
The four options available are:
1. A. 3 bags with 8 pencils and 12 stickers
2. C. 4 bags with 6 pencils and 9 stickers
3. E. 6 bags with 4 pencils and 6 stickers
4. F. 12 bags with 2 pencils and 3 stickers
Here are the calculations for each option:
1. **Option A: 3 bags with 8 pencils and 12 stickers each**
- Total pencils used = 3 bags * 8 pencils/bag = 24 pencils
- Total stickers used = 3 bags * 12 stickers/bag = 36 stickers
- This is a valid option.
2. **Option B: 3 bags with 10 pencils and 10 stickers each**
- Total pencils used = 3 bags * 10 pencils/bag = 30 pencils (not valid, exceeds 24 pencils)
- This is NOT a valid option.
3. **Option C: 4 bags with 6 pencils and 9 stickers each**
- Total pencils used = 4 bags * 6 pencils/bag = 24 pencils
- Total stickers used = 4 bags * 9 stickers/bag = 36 stickers
- This is a valid option.
4. **Option D: 5 bags with 6 pencils and 6 stickers each**
- Total pencils used = 5 bags * 6 pencils/bag = 30 pencils (not valid, exceeds 24 pencils)
- This is NOT a valid option.
5. **Option E: 6 bags with 4 pencils and 6 stickers each**
- Total pencils used = 6 bags * 4 pencils/bag = 24 pencils
- Total stickers used = 6 bags * 6 stickers/bag = 36 stickers
- This is a valid option.
6. **Option F: 12 bags with 2 pencils and 3 stickers each**
- Total pencils used = 12 bags * 2 pencils/bag = 24 pencils
- Total stickers used = 12 bags * 3 stickers/bag = 36 stickers
- This is a valid option.
Based on this analysis, the valid options are:
- A: 3 bags with 8 pencils and 12 stickers
- C: 4 bags with 6 pencils and 9 stickers
- E: 6 bags with 4 pencils and 6 stickers
- F: 12 bags with 2 pencils and 3 stickers
The four options available are:
1. A. 3 bags with 8 pencils and 12 stickers
2. C. 4 bags with 6 pencils and 9 stickers
3. E. 6 bags with 4 pencils and 6 stickers
4. F. 12 bags with 2 pencils and 3 stickers