SOLUTION: In a building with floors 1 through 7, on which floor would you be if the walk to the seventh floor is twice as long as the walk to the first floor?

Question 246071: In a building with floors 1 through 7, on which floor would you be if the walk to the seventh floor is twice as long as the walk to the first floor?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
let x = current floor
7-x is the distance from the current floor to floor 7
x-1 is the distance from the current floor to the first floor
7-x=2y
substitute
7-x=2(x-1)
7-x=2x-2
add 2 to both sides
9-x=2x
add x to both sides
9=3x
divide by 3
3=x
You are on the third floor.
check
3-1=2
7-3=4
4 is twice 2
ok

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