Sia sells large candles for $3 each and small candles for $2 each. she sold 17 candles for $46.00. how many of each size candle did she sell?

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 :

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.

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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 .

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