MATH

A track meet awards 6, 5, 4, 3, 2 and 1 points for 1st, 2nd, 3rd, 4th, 5th
and 6th places, respectively. Team A’s only two runners originally
earned 6 points in the first race with both runners finishing in the top
6, but then the winner of the first race was disqualified. How many
points did Team A have after the ranks were adjusted up?

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  1. to get 6 points, the 2 runners must have finished
    2nd and 6th ---- 5+1
    or
    3rd and 5th --- 4+2

    but the winner was dq'd, so they finished
    1st and 5th for 6+2 or 8 points
    or
    2nd and 4th for 5+8 points

    they got 8 points.

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