Total quantity of water in the pitcher = 3/4 Number of cups served from the pitcher = 5 Quatity of water in the pitcher after serving 5 cups = 2/3 Then The amount of water that is served by 5 cups = (3/4) - (2/3) = (9 - 8)/12 = 1/12 So The amount of water that is served by each cup = (1/12)/5 = 1/60 Then The number of cups serving 1/60 quantity of water = 1 The number of cups served by 3/4 quantity of water = [1/(1/60)] * (3/4) = 60 * (3/4) = 15 * 3 = 45 cups So the total number cups of water that the pitcher can hold is 45. hope the process of doing this problem is clear to you.