SOLUTION: Aura took three biology exams and has an average score of 81. Her second exam score was 11 points better than her first, and her third exam score was 5 points better than her secon

Algebra ->  Average -> SOLUTION: Aura took three biology exams and has an average score of 81. Her second exam score was 11 points better than her first, and her third exam score was 5 points better than her secon      Log On


   

Question 943255: Aura took three biology exams and has an average score of 81. Her second exam score was 11 points better than her first, and her third exam score was 5 points better than her second exam. What were her three exam scores?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
If the average of 3 scores is 81, the sum of the scores is 3(81)=243
first score is F; second score is S; S=F+11; Third score is T; T=S+5=F+16
Since F+S+T=243,
F+(F+11)+(F+16)=243
3F+27=243 Subtract 27 from each side
3F=216
F=72 ANSWER her first score was 72
S=F+11=83 ANSWER her second score was 83
T=S+5=83+5=88 ANSWER her third score was 88
CHECK
(72+83+88)/3=81
243/3=81
81=81