We want to minimize the number of coins. Since there must be AT LEAST 1 coin per pocket, let's put 1 coin in the first 3 pockets.
Pocket #1: 1 coin
Pocket #2: 1 coin
Pocket #3: 1 coin
No two of the remaining pockets are to contain an equal number of coins.
So, from this point on, we cannot put 1 coin in any more pockets (otherwise, we'll break the rule about no more than 3 pockets containing the same number of coins).
To minimize the number of coins, we'll put 2 coins in pocket #4, then 3 in pocket #5 and so on...
Pocket #4: 2 coins
Pocket #5: 3 coins
Pocket #6: 4 coins
Pocket #7: 5 coins
So, the minimum number of coins = 1+1+1+2+3+4+5 =17
You just have to put what you think on how much time you spend on the TV and stuff like for sleeping be like 300 min or 420 minutes you know,, and for homework you would be like 180 minutes