Try this GRE question that tests your ability to formulate algebraic equations in the context of a word problem.

Some marbles in a bag are red and the rest are blue. If one red marble is removed, then one-seventh of the remaining marbles are red. If two blue marbles are removed instead of one red, then one-fifth of the remaining marbles are red. How many marbles were in the bag originally?

- $\quad 8 $
- $\quad 22 $
- $\quad 36 $
- $\quad 57 $
- $\quad 71 $

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