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1994 AMC 12 Question 16

AMC12 · 1994 AMC 12

Question 16

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?
  1. $8$
  2. $22$
  3. $36$
  4. $57$
  5. $71$