Assuming I can gather 500$ a week from here and there,how much exactly should I invest.
I'm not that greedy and there is no time constraint.
You can gather money from here and there and then you will go invest into trading. That sounds little risky to me. I mean how would you pay back the money if you did not win in the first place. Im sure you have plans for that thing.
Anywa after getting that money you should put it into different altcoins as well as bitcoin. Spreading your investment into more than two locations will give you better stability in terms of the profits. I mean it might happen that one coin stick to single price for more than ages but meanwhile at least it could happen that another coin will jump to moon like crazy. So spread it first and choose the % share as per the coins reputation. For any type of investment bitcoin should always hold 50% investment, rest you can break up Leo the way you want.