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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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Q: Alan has thrown 24 passes and has completed 25 percent of them Remainder of season he completed all his passes ending the season with an 80 percent completion record How many passes did he throw?
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