Kayla is purchasing 5 candles for x dollars each and 5 candle holders for $3.50 each. Kayla paid a total of $27.50. Before tax, what is the cost per candle?

A.
$2.00

B.
$4.80

C.
$6.20

D.
$9.00

1 answer

To solve for the cost per candle (x), we start by breaking down Kayla's total expenditure.

  1. Calculate the total cost of the candle holders:

    • Cost per candle holder = $3.50
    • Number of candle holders = 5
    • Total cost of candle holders = 5 × $3.50 = $17.50
  2. Set up the equation for the total cost:

    • Total cost for the candles = 5 × x
    • Therefore, the total cost is the sum of the cost of candles and candle holders: \[ 5x + 17.50 = 27.50 \]
  3. Subtract the cost of the candle holders from the total: \[ 5x + 17.50 - 17.50 = 27.50 - 17.50 \] \[ 5x = 10.00 \]

  4. Solve for x: \[ x = \frac{10.00}{5} = 2.00 \]

Thus, the cost per candle is $2.00.

The answer is A. $2.00.

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