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? 4 small and 13 large candles 5 small and 12 large candles 12 small and 5 large candles 13 small and 4 large candles

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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