Identifying the Cost of Pendants in Austin's Necklaces

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.
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