SOLUTION: I am having trouble with the following question: Vanessa's avergae for five mathematics test was 86. The median score was 87 and the mode was 80. What was the highest score she cou

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Question 963267: I am having trouble with the following question: Vanessa's avergae for five mathematics test was 86. The median score was 87 and the mode was 80. What was the highest score she could have received on any test?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let the scores be A, B, C, D, E in order from lowest to highest.
Since there are 5 scores, the third is the median.
C=87
Since the mode was 80, then A and B must be 80.
A=80
B=80
So then you know that D and E must be at least 87.
%28A%2BB%2BC%2BD%2BE%29%2F5=86
80%2B80%2B87%2BD%2BE=430
D%2BE=183
The minimum that D could be is 87.
So the maximum that E could be is,
87%2BE=183
E=96