SOLUTION: Evian's average on five tests was 90%. The average of the four highest test scores was 93%, and the average of the four lowest test scores was 87.75%. What was the sum of the lowes
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Question 1076068: Evian's average on five tests was 90%. The average of the four highest test scores was 93%, and the average of the four lowest test scores was 87.75%. What was the sum of the lowest mark and the highest mark?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
your average mark for all 5 tests was 90%.
this was the sum of the 5 test scores divided by 5.
the total mark for all 5 tests was therefore 90 * 5 = 450%.
similarly the total mark for the 4 highest test scores was 4 * 93 = 372%
similarly, the total mark for the 4 lowest test scores was 4 * 87.75 = 351%
subtract the 4 lowest test scores from the total test score to get the highest test score.
subtract the 4 highest test scores from the total test score to get the lowest test score.
you get the highest test score = 450 - 351 = 99%
you get lowest test score = 450 - 372 = 78%
the total of the highest test score and the lowest test score is 177%.
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