Answer
6.4 feet from the fulcrum
Work Step by Step
Plug the known weights and distances of the boy and the mom into the equation $w_{1}x_{1} = w_{2}x_{2}$. We know $w_{1}$ is 100lb, $x_{1}$ is 8 ft and $w_{2}$ is 125lb. Therefore, we can see that $800 = 125x_{2}$. Divide both sides by 125 to find $x_{2}$, which is equal to 6.4.
