You sell small candles ($4 each) and large candles ($9 each) at a craft fair. You collect $154 selling a total of 31 candles. Write a system of equations to represent this scenario and solve it by elimination. How many small candles did you sell? How many large candles did you sell?

4x + 31 = 154

9x + 31 = 154

Step-by-step explanation:

$154 total

31 candles

4x + 31 = 154 <-- this is to find out how many small candles can be bought

9x + 31 = 154 <-- this is to find out how many large candles can be bought

I'm pretty sure these equations work! :)

After that its just simple math!! :)

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.