TEN PEOPLE PLAY CARDS STARTING ON MAY 27TH,2014, FOR 27 TUESDAYS, ENDING ON NOV. 25TH2014. HOW TO GIVE EQUAL PLAYING TIME TO ALL WHEN ONLY 8 PEOPLE ARE NEEDED FOR EACH TUESDAY.?

I hope it's not a trick question.

Between the two dates, there are indeed 27 Tuesdays, so there are 27*8=216 person-days needed.

Since 10 does not divide 216, they may not equally divide unless the days are split into shifts.