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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 10 small candle holders and 4 large candle holders, using a total of 52 candles. On the west side, he replaced the candles in 2 small candle holders and 4 large candle holders, for a total of 36 candles. How many candles does each candle holder hold?

Respuesta :

Answer:

small=2, large=8

Step-by-step explanation:

let every candle holder(small) hold x candle and large y.

=>east side= 10x+4y=52-equation 1

=>west side=2x+4y=36-equation 2

equation 1 - equation 2=10x+4y-(2x+4y)=52-36

=>10x-4y-2x-4y=16

=>8x=16

=>x=16/8=2 candles

therefore, every small candle holder has 2 candles.

for large candle holders' capacity=> 2*2+4y=36

4+4y=36

4y=32

y=32/4=8 candles

Brainliest please

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