I have this word problem that I can't figure out. The problem is:

A 15 lb weight is positioned 10 in. form a fulcrum. At what distance from the fulcrum must a 12 lb weigt be positioned to keep the scale balanced?

The substitute that I had today said that the 12 lb. weight would have to be further away from the fulcrum than the 15 lb., but my mom says the opposite.

1 answer

Sorry, even moms are sometimes wrong

to balance, the (mass x distance) must be equal on each side for a balance
so,
12x = 10x15
x = 12.5 inches