Respuesta :
Answer:
The number of large size candles sells are 12 and the number of small size candles are 5 .
Step-by-step explanation:
As given
Sia sells large candles for $3 each and small candles for $2 each.
She sold 17 candles for $46.00.
Let us assume that the large size candle sells are x .
Let us assume that the small size candle sells are y.
Equation becomes
x + y = 17
3x + 2y = 46
Multiply x + y = 17 by 3 and subtracted from 3x + 2y = 46 .
3x - 3x + 2y - 3y = 46 - 51
-y = - 5
y = 5
Put in the equation x + y = 17 .
x + 5 = 17
x = 17 - 5
x = 12
Therefore the number of large size candles sells are 12 and the number of small size candles are 5 .
Sia sells 12 large candles and 5 small candles in order to earn $46 and this can be determined by forming the linear equation in two variables.
Given :
- Sia sells large candles for $3 each and small candles for $2 each.
- She sold 17 candles for $46.00.
Let the total number of large candles be 'x' and the total number of small candles be 'y'. So the linear equation that represents the total number of candles is:
x + y = 17
x = 17 - y ---- (1)
Now, the linear equation that represents the total earning of Sia is:
3x + 2y = 46 ---- (2)
Substitute the value of 'x' in equation (2).
3(17 - y) + 2y = 46
Simplify the above equation in order to determine the value of 'y'.
51 - 3y + 2y = 46
51 - 46 = y
y = 5
Now, substitute the value of 'y' in equation (1).
x = 17 - 5
x = 12
So, Sia sells 12 large candles and 5 small candles in order to earn $46.
For more information, refer to the link given below:
https://brainly.com/question/22122594
