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2000 AMC 8 Question 23

AMC8 · 2000 AMC 8

Question 23

There is a list of seven numbers. The average of the first four numbers is $5,$ and the average of the last four numbers is $8.$ If the average of all seven numbers is $6\frac{4}{7},$ then the number common to both sets of four numbers is
  1. $5\frac{3}{7}$
  2. $6$
  3. $6\frac{4}{7}$
  4. $7$
  5. $7\frac{3}{7}$