After playing a game of Lotsa Money, Peter won 6 times as many dollars as Noah. Noah won half as many dollars as Ben. Altogether they won 54 dollars. How many dollars did Ben win?

Noah's wins ---- x

Ben's wins --- 2x
Peter ---- 6x

x+2x+6x = 54
x = 6
sub back into my definitions

Ben = 12

Peter = 36