Q:

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?

Accepted Solution

A:
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 .