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.Com
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) (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
RELATED QUESTIONS
Aura took three biology exams and has an average score of 85. Her second exam score was... (answered by Earlsdon)
Use an algebraic approach to solve the problem. (Objective 2)
Aura took three biology... (answered by ankor@dixie-net.com)
Use an algebraic approach to solve the problem. (Objective 2)
Aura took three biology... (answered by josgarithmetic)
aura took three biology exam and has an average score of 88. her second exam was ten... (answered by solver91311)
Aura took three biology exams and has an average score of 85. her second exam score was 9 (answered by richwmiller)
Aura took three biology exams and has an average score of 88. Her second exam score was 6 (answered by robertb)
Aura took three biology exams and has an average score of 89. Her second exam score was 6 (answered by lynnlo)
Aura took three biology exams and has an average score of 87. Her second exam score was 7 (answered by ewatrrr)
Aura took three biology exams and has an average score of 89. Her second exam score was... (answered by Boreal)