You can put this solution on YOUR website! you have more cups per people which means everyone gets more than one cup. So you have to divide your cups over the number of people like this 32/6 = 5.33 you can't break a cup, so 4 people will get 5 cups and 2 people will get 6 cups:
4*5= 20; 20+(2*6) = 32 so you have now distributed your 32 cups over 6 people