SOLUTION: A large building has 3 air conditioners of different sizes that total 155 tons. If the largest air conditioner is twice as large as the medium sized one and the smallest is 5 tons

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A large building has 3 air conditioners of different sizes that total 155 tons. If the largest air conditioner is twice as large as the medium sized one and the smallest is 5 tons      Log On


   



Question 1070546: A large building has 3 air conditioners of different sizes that total 155 tons. If the largest air conditioner is twice as large as the medium sized one and the smallest is 5 tons smaller than the medium sized one, what is the size in tons, of all three air conditioners. Set up a system of equations and solve.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
medium is x
small is x-5
larger is 2x
they add to 155 tons
2x+x-5+x=155
4x=160
x=40 tons medium
small is 35 tons
larger is 80 tons
They add to 155 tons.