Answer:
The number of candles will hold 2 candles
And large candle holder will hold 6 candles.
Step-by-step explanation:
Let the number of candles small candle holder have x
And the number of candles large candle holder have y
So, according to the information given in the question:
17 small candle holders means 17 x
and 2 large candle holders means 2y
using a total of 46 candles means
(1)
Similarly, 8 small candle holders and 2 large candle holders, for a total of 28 candles gives:
(2)
We will solve equation (1) and (2) by elimination method:
Subtractijng the two equations we get:
![9x=18](https://tex.z-dn.net/?f=9x%3D18)
![\Rightarrow x=2](https://tex.z-dn.net/?f=%5CRightarrow%20x%3D2)
Substitute x=2 in equation(2) we get:![8(2)+2y=28](https://tex.z-dn.net/?f=8%282%29%2B2y%3D28)
![2y=12](https://tex.z-dn.net/?f=2y%3D12)
![\Rightarrow y=6](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D6)
So, the number of candles will hold 2 candles
And large candle holder will hold 6 candles.