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2011 AMC 10B Question 6

AMC10 · 2011 AMC 10B

Question 6

On Halloween Casper ate $\frac{1}{3}$ of his candies and then gave $2$ candies to his brother. The next day he ate $\frac{1}{3}$ of his remaining candies and then gave $4$ candies to his sister. On the third day he ate his final $8$ candies. How many candies did Casper have at the beginning?
  1. $30 $
  2. $39 $
  3. $48 $
  4. $57 $
  5. $66 $