YOU SAID:
i went to the food store
INTO JAPANESE
私は食品店に行きました
BACK INTO ENGLISH
I went to a food store
INTO JAPANESE
私は食料品店に行きました
BACK INTO ENGLISH
I went to a grocery store
INTO JAPANESE
私は食料雑貨店に行きました
BACK INTO ENGLISH
I went to a grocery store
That didn't even make that much sense in English.