Question 876590
Let x be the distance from the fulcrum to George and y be the distance from the fulcrum to Laura. 
1.{{{x+y=12}}}
2.{{{150*x=210*y}}}
From eq. 1,
{{{x=12-y}}}
Substitute into eq. 2,
{{{150(12-y)=210y}}}
{{{1800-150y=210y}}}
{{{1800=360y}}}
{{{y=5}}}
Then
{{{x=12-5}}}
{{{highlight(x=7)}}}