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Let p = total passes for season, then completion is 4p/5

Already completed 6 passes so remainder of season he completed (4p/5) - 6 passes

Remainder of season he threw p - 24 passes.

As all these were complete the two expressions are equal, ie (4p/5) - 6 = p - 24 ie 4p - 30 = 5p - 120 which simplifies to p = 90. so he threw 90 passes, 6 of 24 complete in first part of season and 66 of 66 in remainder, giving a total of 72 completions out of the 90, which is the 80% required.

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