Question

At an art fair, an artist recorded sales of 53 candles of two different sizes and a total of $269 collected. The smaller candle sells for $4 and the larger candle sells for $7. What is the system of equations that can be used to find the number of the smaller candles, x, and the number of the larger candles, y, that were sold?

A: x+y=269
4x+7y=53
B: x+y=53
4x+7y=269
C: x+y=53
7x+4y=269
D: x+y=269
7x+4y=53

Answer 1

B: x+y=53

Explanation:

Answer 2

B

Explanation:

x is representing the amount of small candles and 4 is representing how much each small candle cost which would make it 4x. y is representing the amount of large candles and 7 is representing how much each large candle costs, so it would be 7y. 269 represents the total amount of money they received so that would make the equation 4x+7y=269. If x represents the amount of small candles bought and y represents the amount of large candles bought and 53 is the total amount of candles bought, then you would get the equation x+y=53.

I hope that was helpful!! :)