To find out how much each pendant costs, we need to first determine the total cost of the pendants for all 3 necklaces. We know that the total cost of beads and pendants for all 3 necklaces is $17.10. If the beads for each necklace cost $3.10, then the total cost of beads for all 3 necklaces is $3.10 x 3 = $9.30. Subtracting the cost of the beads from the total cost of beads and pendants gives us the total cost of the pendants for all 3 necklaces: $17.10 - $9.30 = $7.80. Since Kaitlin made 3 identical necklaces, the cost of each pendant is the total cost of pendants for all 3 necklaces divided by the number of pendants, which is 3. Therefore, each pendant costs $7.80 / 3 = $2.60. Therefore, each pendant costs $2.60.
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Answer:
$2.60
Step-by-step explanation:
Let's denote the cost of each pendant as [tex] x [/tex] dollars.
Given that Kaitlin made 3 identical necklaces, the total cost of the beads and pendants for all 3 necklaces was $17.10.
The cost of the beads for each necklace is $3.10.
Therefore, for 3 necklaces, the total cost of the beads is [tex] 3 \times 3.10 = 9.30 [/tex] dollars.
We can set up an equation to find the total cost of the pendants for 3 necklaces:
Total cost of beads and pendants - Total cost of beads = Total cost of pendants
[tex] 17.10 - 9.30 = 3x [/tex]
[tex] 7.80 = 3x [/tex]
Now, we solve for [tex] x [/tex]:
[tex] x = \dfrac{7.80}{3} [/tex]
[tex] x = 2.60 [/tex]
Therefore, each pendant costs $2.60.
