Respuesta :
Answer:
Therefore, you sold 12 small candles and 16 large candles at the craft fair.
Step-by-step explanation:
According to the given information, the total number of candles sold is 28:
x + y = 28
The cost of each small candle is $4, and you sold x small candles. So, the total cost of small candles sold is 4x.
The cost of each large candle is $6, and you sold y large candles. So, the total cost of large candles sold is 6y.
The total amount collected from selling these candles is $144:
4x + 6y = 144
Now we have a system of equations:
x + y = 28
4x + 6y = 144
To solve this system, we can multiply the first equation by 4 to get:
4x + 4y = 112
Now we can subtract this equation from the second equation:
(4x + 6y) - (4x + 4y) = 144 - 112
This simplifies to:
2y = 32
Dividing both sides by 2:
y = 16
Substituting this value back into the first equation:
x + 16 = 28
x = 28 - 16
x = 12
