To solve for the cost per candle (x), we can set up the equation based on the information provided.
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Kayla is purchasing 5 candles for x dollars each, so the total cost for the candles is: \[ 5x \]
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She is also purchasing 5 candle holders for $3.50 each. The total cost for the candle holders is: \[ 5 \times 3.50 = 17.50 \]
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The total amount paid by Kayla is $27.50. Therefore, we can set up the equation: \[ 5x + 17.50 = 27.50 \]
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Now, we will solve for x by first subtracting $17.50 from both sides: \[ 5x = 27.50 - 17.50 \] \[ 5x = 10.00 \]
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Next, we divide by 5 to find x: \[ x = \frac{10.00}{5} = 2.00 \]
The cost per candle is \( \boxed{2.00} \).