Question

kayla is purchasing 5 candles. she also purchases 5 candle holders for 3.50 each, kayla paid a total of 27.50. she writes the equation 5(x+3.50)= 27.50 to represent the situation.
solve the equation for xshow your workwrite your answer as a sentence that describes what the variable x represents

Answer 1

To solve the equation \( 5(x + 3.50) = 27.50 \), we will start by distributing the \( 5 \) on the left side of the equation.

1. Distribute \( 5 \):
\[
5x + 5 \cdot 3.50 = 27.50
\]
\[
5x + 17.50 = 27.50
\]

2. Subtract \( 17.50 \) from both sides:
\[
5x = 27.50 - 17.50
\]
\[
5x = 10
\]

3. Divide both sides by \( 5 \):
\[
x = \frac{10}{5}
\]
\[
x = 2
\]

Now, the variable \( x \) represents the cost of each candle. Thus, we can state:

Kayla paid $2.00 for each candle.