SOLUTION: EmilÃa has an average of 70 on 4 different tests. If the lowest score is dropped, her average rises to 90. What is the lowest score?
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Question 1210373: EmilÃa has an average of 70 on 4 different tests. If the lowest score is dropped, her average rises to 90. What is the lowest score?
Found 3 solutions by josgarithmetic, greenestamps, math_tutor2020:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
, assuming w is lowest score
But so many variables are not really necessary for this.
Let .
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
4 tests with an average of 70; total points 70*4 = 280.
3 tests with an average of 90; total points 90*3 = 270.
The number of points on the test that is dropped is 280-270 = 10.
ANSWER: 10
Answer by math_tutor2020(3816) (Show Source): You can put this solution on YOUR website!
x = sum of the three scores after the lowest score was dropped, i.e. we ignore the lowest score
x/3 = 90 = mean of those three scores
x = 3*90 = 270
y = lowest score that was dropped
x+y = sum of four test scores
(x+y)/4 = 70
(270+y)/4 = 70
270+y = 4*70
270+y = 280
y = 280-270
y = 10
Answer: 10
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