I am watching けいおん! and in the Episode 17 「部室がない!」the club is trying to find a room for rehearsals. After not finding a suitable room Yui says:
「軽音部{けいおんぶ}とかけて双六{すごろく}と解{と}く」
In response she is asked what she means, so I gather that she is talking in an abstract way. My problems are that:
- すごろく is obviously a kind of a board game, but to play it would be 双六をする
- instead 双六と解く is used, but even if by thinking about a game as a kind of puzzle you could "solve/untangle a game" I would expect 解く to use the を-Particle instead of と
- かける can have so many different meanings. I found that the combination of とかける is found often in "multiply x with y". But I don't think this meaning is correct here as "双六 multiplied with the Light Music Club" because IMO that would need to be 軽音部とかけ た 双六 or 軽音部とかけ て(い)た 双六
So what does the sentence literally mean? Thanks a lot!