What is the cost of each pendant in Austin's necklaces based on the given data?
Calculating the Cost of Pendants
In this scenario, Austin created 5 identical necklaces, each consisting of beads and a pendant. The total cost of the beads and pendants for all 5 necklaces was $26.50. It is specified that the beads cost $1.50 for each necklace.
To find out the cost of each pendant, we first determine the total cost of the beads for all 5 necklaces. Since the beads cost $1.50 for each necklace, the total cost of beads for all 5 necklaces would be:
Total Cost of Beads = Number of Necklaces x Cost of Beads per Necklace
Total Cost of Beads = 5 x $1.50 = $7.50
Next, we deduct the total cost of beads from the overall cost of beads and pendants to find the cost of the pendants for all 5 necklaces. This calculation can be expressed as:
Cost of Pendants = Total Cost of Beads and Pendants - Total Cost of Beads
Cost of Pendants = $26.50 - $7.50 = $19
Since the pendants on each necklace are identical, we can determine the cost of each pendant by dividing the total cost of pendants by the number of necklaces, which is 5 in this case.
Cost of Each Pendant = Total Cost of Pendants / Number of Necklaces
Cost of Each Pendant = $19 / 5 = $3.80
Therefore, based on the data provided, the cost of each pendant in Austin's necklaces is $3.80.