# 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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