Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks. At a historical landmark, candles are used to simulate an authentic atmosphere. A volunteer is currently putting new candles in the candle holders. On the east side, he replaced candles in 17 small candle holders and 2 large candle holders, using a total of 46 candles. On the west side, he replaced the candles in 8 small candle holders and 2 large candle holders, for a total of 28 candles. How many candles does each candle holder hold? Each small candleholder holds candles, and each large one holds candles. Submit

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flightbath flightbath · Answer 1 · 2019-02-04T10:42:51+01:00

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 [tex]17x+2y=46[/tex] (1)

Similarly, 8 small candle holders and 2 large candle holders, for a total of 28 candles gives:

[tex]8x+2y=28[/tex] (2)

We will solve equation (1) and (2) by elimination method:

Subtractijng the two equations we get:

[tex]9x=18[/tex]

[tex]\Rightarrow x=2[/tex]

Substitute x=2 in equation(2) we get:[tex]8(2)+2y=28[/tex]

[tex]2y=12[/tex]

[tex]\Rightarrow y=6[/tex]

So, the number of candles will hold 2 candles

And large candle holder will hold 6 candles.