SOLUTION: With summer approaching, the number of air conditioners sold is expected to be double that of stoves and refrigerators combined. Stoves sell for $400, refrigerators for $500, and a

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: With summer approaching, the number of air conditioners sold is expected to be double that of stoves and refrigerators combined. Stoves sell for $400, refrigerators for $500, and a      Log On


   



Question 346291: With summer approaching, the number of air conditioners sold is expected to be double that of stoves and refrigerators combined. Stoves sell for $400, refrigerators for $500, and air conditioners for $600, and sales of $16,500 are expected. If stoves and refrigerators sell in equal numbers, how many of each appliance should be stocked?
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = number of stoves & refrigerators sold &

the number of air conditioners = double that of stoves and refrigerators

combined

= 2(x+x)

= 2(2x)

= 4x

Then 600(4x) + 500x+400x = 16 500

2400x + 900x = 16 500

3300x = 16500

x = 16500/3300 = 5

So, x = 5.

Therefore 5 stoves are sold , 5 refrigerators are sold and 20 air conditioners are sold.