The usual financial problem, namely shortage of money, faced them. Money was desperately needed to equip, supply and pay salaries for the army fighting in the field. Unfortunately the Continental Congress did not have any means to levy and collect taxes. The individual colonies had to supply the money and troops and they had the same problem. Money was scarce anyway and taxation was a particularly sensitive issue.
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The governing body that led the colonies during the Revolution was the Continental Congress. It met several times to try to fund the Revolution and for several other reason.
Inflation was a big problem for Americans during the Revolution
The Continental Congress was a convention of delegates from the Thirteen Colonies that became the governing body of the United States during the American Revolution.
Since there was no America before the revolution there was no presidents; but during the revolution John Hancock was the president of the Continental Congress, which was in charge until the war was over and a new government could be set up.
The main decision maker was the Continental Congress-- by the way, George Washington wasn't the only general, there were many others.