A shop purchased some baseball bats at $$ $135$$ each. It then sold them at $$ $185$$ each. When the shop was left with $$3$$ bats, the proceeds had covered the initial total cost price plus a profit of $$ $2945$$. How many baseball bats did the shop purchase at first? 
Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts