Question
Jenny is making jewelry craft kits. She purchases 3 bags of each color band. She divides the total number of bands equally into 4 kits. How many bands are in each kit? Bands Number of Bands per Bag Red 80 Blue 60 Green 72 Yellow 48 (1 point) Responses 65 bands 65 bands - no response given 195 bands 195 bands - no response given 260 bands 260 bands - no response given 345 bands 345 bands.
Answers
GPT-4o mini
First, let's calculate the total number of bands Jenny has for each color.
1. **Red Bands:**
- Bands per Bag: 80
- Bags Purchased: 3
- Total Red Bands = 80 bands/bag × 3 bags = 240 bands
2. **Blue Bands:**
- Bands per Bag: 60
- Bags Purchased: 3
- Total Blue Bands = 60 bands/bag × 3 bags = 180 bands
3. **Green Bands:**
- Bands per Bag: 72
- Bags Purchased: 3
- Total Green Bands = 72 bands/bag × 3 bags = 216 bands
4. **Yellow Bands:**
- Bands per Bag: 48
- Bags Purchased: 3
- Total Yellow Bands = 48 bands/bag × 3 bags = 144 bands
Now, let's add all the bands together to find the total number of bands:
\[
\text{Total Bands} = \text{Total Red Bands} + \text{Total Blue Bands} + \text{Total Green Bands} + \text{Total Yellow Bands}
\]
\[
\text{Total Bands} = 240 + 180 + 216 + 144
\]
Calculating step by step:
- \(240 + 180 = 420\)
- \(420 + 216 = 636\)
- \(636 + 144 = 780\)
Now, Jenny divides the total number of bands (780) equally into 4 kits:
\[
\text{Bands per Kit} = \frac{\text{Total Bands}}{4} = \frac{780}{4} = 195
\]
Therefore, the number of bands in each kit is **195 bands**.
1. **Red Bands:**
- Bands per Bag: 80
- Bags Purchased: 3
- Total Red Bands = 80 bands/bag × 3 bags = 240 bands
2. **Blue Bands:**
- Bands per Bag: 60
- Bags Purchased: 3
- Total Blue Bands = 60 bands/bag × 3 bags = 180 bands
3. **Green Bands:**
- Bands per Bag: 72
- Bags Purchased: 3
- Total Green Bands = 72 bands/bag × 3 bags = 216 bands
4. **Yellow Bands:**
- Bands per Bag: 48
- Bags Purchased: 3
- Total Yellow Bands = 48 bands/bag × 3 bags = 144 bands
Now, let's add all the bands together to find the total number of bands:
\[
\text{Total Bands} = \text{Total Red Bands} + \text{Total Blue Bands} + \text{Total Green Bands} + \text{Total Yellow Bands}
\]
\[
\text{Total Bands} = 240 + 180 + 216 + 144
\]
Calculating step by step:
- \(240 + 180 = 420\)
- \(420 + 216 = 636\)
- \(636 + 144 = 780\)
Now, Jenny divides the total number of bands (780) equally into 4 kits:
\[
\text{Bands per Kit} = \frac{\text{Total Bands}}{4} = \frac{780}{4} = 195
\]
Therefore, the number of bands in each kit is **195 bands**.