In the box, there are blue, red, and green pencils. In total, there are 20 pieces. Blue pencils are 6 times more than green ones, and there are fewer red pencils than blue ones.

How many red pencils are in the box?

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The total number of blue and green pencils is divisible by 7. Therefore, they are either 7 or 14. In the first case, the number of red pencils is 13 more than the blue ones. Therefore, only the second option is possible: 6 red pencils.

## Answer

6 red pencils.