Question

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 6 small candle holders and 7 large candle holders, using a total of 54 candles. On the west side, he replaced the candles in 20 small candle holders and 13 large candle holders, for a total of 118 candles. How many candles does each candle holder hold?

A) Small holder holds 6 candles, large holder holds 7 candles
B) Small holder holds 8 candles, large holder holds 9 candles
C) Small holder holds 4 candles, large holder holds 6 candles
D) Small holder holds 5 candles, large holder holds 8 candles

Answer 1

To find out how many candles each candle holder holds, we can set up a system of equations using the given information and solve for the values. A) Small holder holds 6 candles, large holder holds 7 candles

Step-by-step explanation:

To find out how many candles each candle holder holds, we can set up a system of equations. Let's assume that the number of candles a small holder holds is 's' and the number of candles a large holder holds is 'l'.

From the information given, we know that 6s + 7l = 54 (for the east side) and 20s + 13l = 118 (for the west side). We can solve these equations to find the values of 's' and 'l'.

A) Small holder holds 6 candles, large holder holds 7 candles