Answer:
The number of
Small candles = x = 12 candles
Large candles = y = 16 candles
Step-by-step explanation:
You sell small and large candles at a craft fair. You collect $144 selling a total of 28 candles. How many of each type of candle did you sell? A photo shows a small candle labeled 4 dollars each and a large candle labeled 6 dollars each.
Let the number of
Small candles = x
Large candles = y
Our system of equations is:
x + y = 28 .......... Equation 1
x = 28 - y
A photo shows a small candle labeled 4 dollars each and a large candle labeled 6 dollars each.
4x + 6y = 144......... Equation 2
Substitute 28 - y for x in Equation 2
4(28 - y) + 6y = 144
112 - 4y + 6y = 144
- 4y + 6y = 144 - 112
2y = 32
y = 32/2
y = 16 candles
x = 28 - y
x = 28 - 16
x = 12 candles
Therefore:
The number of
Small candles = x = 12 candles
Large candles = y = 16 candles
