Stacking $$6$$ one-cent coins, it will have the same height as $$5$$ two-cent coins. Stacking $$4$$ one-cent coins, it will have the same height as $$3$$ five-cent coins. Using one-cent, two-cent and five-cent coins, Sam places only coins of the same value into three stacks of equal heights. If he used a total of $$124$$ coins, what is the total value of all these coins in cents? 
Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Multivariate Linear Equation Word Problems