Question

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

Answer 1

To determine the cost per candle, we can set up an equation based on the information given:

1. Kayla is purchasing 5 candles, each costing \( x \) dollars.
2. She is also purchasing 5 candle holders, each costing $3.50.

The total amount paid is $27.50. We can express this mathematically:

\[
5x + 5(3.50) = 27.50
\]

Next, we calculate the total cost of the candle holders:

\[
5(3.50) = 17.50
\]

Now we can substitute this value back into the equation:

\[
5x + 17.50 = 27.50
\]

To isolate \( 5x \), we subtract 17.50 from both sides:

\[
5x = 27.50 - 17.50
\]
\[
5x = 10.00
\]

Now, divide both sides by 5 to solve for \( x \):

\[
x = \frac{10.00}{5} = 2.00
\]

Thus, the cost per candle is \( \boxed{2.00} \).