posted by ABC123DoReMi .
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?
to get 6 points, the 2 runners must have finished
2nd and 6th ---- 5+1
3rd and 5th --- 4+2
but the winner was dq'd, so they finished
1st and 5th for 6+2 or 8 points
2nd and 4th for 5+8 points
they got 8 points.