SOLUTION: Two children weighing 40 pounds and 50 pounds are at a teetertooter. The 50 pound child is sitting 1 foot closer to the center than the 40 pound child. To balance the teetertooter,

Algebra ->  Expressions-with-variables -> SOLUTION: Two children weighing 40 pounds and 50 pounds are at a teetertooter. The 50 pound child is sitting 1 foot closer to the center than the 40 pound child. To balance the teetertooter,      Log On


   

Question 1045329: Two children weighing 40 pounds and 50 pounds are at a teetertooter. The 50 pound child is sitting 1 foot closer to the center than the 40 pound child. To balance the teetertooter, the 40 pound child must sit x feet from the center where x is a solution of the equation 50(x-1)=40x. Solve for x.
Found 2 solutions by KMST, jorel555:
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
50%28x-1%29=40x
50x-50=40x
50x-50%2B50-40x=40x%2B50-40x
50x-40x=50
10x=50
x=50%2F10
highlight%28x=5%29
The 40 pound child is sitting highlight%285%29 feet from the center of the teeter-totter.
The 50 pound child is sitting 1 foot closer to the center, at 5-1=4 feet from the center.

Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
50(x-1)=40x
50x-50=40x
10x=50
x=5. ☺☺☺☺