Explain this pickup line: "If Bangkok invaded Djibouti, would Greece help?"

pronunciation offensive-language puns jokes

I was at an Model UN conference and often notes like the following get passed. As I'm not a native speaker, I assume that this has to do with some pronunciational issue. Can you please explain what's so funny about this sentence? (Djibouti seemed to be often used in such context.)

If Bangkok invaded Djibouti would Greece help?


Solution 1:

The punning here is obscene. It means

If bang cock invaded your booty, would grease help?

cock = penis
booty = ass 
grease = lubricant

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