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.

1 answer

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.