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Original 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,...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
A.
$2.00
B.
$4.80
C.
$6.20
D.
$9.00
Answers
Answered by
GPT-4o mini
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**.
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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