750 candles cost $8, 267.10. Soy candles cost $12.77 each specialty candles cost $9.89 each. How many of each type of candles were ordered?

Question

a store ordered 750 candles at acost of $8, 267.10. The soy candles cost $12.77 each and the specialty candles cost $9.89 each. How many of each type of candles were ordered?

Answer 1

Solve this as a system of 2 equations in 2 unknowns.

 

x = number of soy candles

y = number of specialty candles

 

x + y = 750

 

($12.77)x + ($9.89)y = $8267.10

 

Our 2 equations to solve are:

 

x+y = 750

12.77x + 9.89y = 8267.1

 

Get x = 750-y from first equation, plug it into second equation, and solve for y:

 

12.77(750-y) + 9.89y = 8267.1

 

9577.5 - 12.77y + 9.89y = 8267.1

 

-2.88y = -1310.4

 

y = 1310.4/2.88 = 455

 

x = 750-y =750-455 = 295

 

So there are 295 soy candles and 455 specialty candles.