Of the shoe stores in City X, 30 carry Brand A

Of the shoe stores in City X, 30 carry Brand A shoes, 40 carry Brand B shoes, and 25 carry Brand C shoes. If each store carries at least one of the brands, 32 of the stores carry two of the three shoe brands, and none of the stores carry all three, how many shoe stores are there in City X?

OA:


Does anyone know how to solve this using a venn diagram? I'm having trouble placing the 32 in the right place.

Thanks!

Jose