Question

You sell small and large candles at a craft fair. You collect $144 selling small candles for $4 each and large candles for $6 each. You sold a total of 28 candles. 



Write a system of equations to find the number of small candles, `x`, and the number of large candles, `y`, that were sold.

Answer 1

To solve the problem, we can set up a system of equations based on the information provided.

Let:
- \( x \) = number of small candles sold
- \( y \) = number of large candles sold

From the information given, we can create the following equations:

1. The total number of candles sold:
\[
x + y = 28
\]

2. The total revenue from selling the candles:
\[
4x + 6y = 144
\]

Now, we have the system of equations:

\[
\begin{align*}
1. & \quad x + y = 28 \\
2. & \quad 4x + 6y = 144
\end{align*}
\]

This is the system of equations you can use to find the number of small candles \( x \) and large candles \( y \) sold at the craft fair.