这句话不对.
food 既是可数名词又是不可数名词.
仅仅指"食物、食品"的时候是不可数名词.
例如：We can't live without food and water.
若表示某种特殊种类的食物,则可用作可数名词.
例如：Don’t eat too many dairy foods.
按照推断,这句话应该翻译成“世界上有各种中国菜和西式菜.”不表示某种特殊食物.
推荐翻译成为：There are many kinds of Chinese food and western food.
或者把many替换成为a lot of