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.

Question

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

Answer 1

To form a system of equations based on the information provided, we have the following variables:

• Let \( x \) represent the number of small candles sold.
• Let \( y \) represent the number of large candles sold.

From the problem, we can create two equations based on the total sales and the total number of candles sold:

1. The total number of candles sold: \[ x + y = 28 \quad \text{(Equation 1)} \]

2. The total revenue from selling the candles: \[ 4x + 6y = 144 \quad \text{(Equation 2)} \]

So, the system of equations is:

\[ \begin{cases} x + y = 28 \ 4x + 6y = 144 \end{cases} \]