SOLUTION: Use an algebraic approach to solve the problem. (Objective 2) Aura took three biology exams and has an average score of 87. Her second exam score was 7 points better than her fi

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Question 522324: Use an algebraic approach to solve the problem. (Objective 2)
Aura took three biology exams and has an average score of 87. Her second exam score was 7 points better than her first, and her third exam score was 4 points better than her second exam. What were her three exam scores?
(lowest score)

(highest score)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Aura took three biology exams and has an average score of 87.
%28a+%2B+b+%2B+c%29%2F3 = 87
a + b + c = 3(87)
a + b + c = 261
:
Her second exam score was 7 points better than her first,
b = a+7
or
a = b-7
:
and her third exam score was 4 points better than her second exam.
c = b+4
:
a + b + c = 261
Replace a and c
(b-7) + b + (b+4) = 261
3b - 3 = 261
3b = 261 + 3
3b = 264
b = 264/3
b = 88
:
You should be able to find a and c now


What were her three exam scores?
(lowest score)