SOLUTION: if the average score of 20 students is 85 and 14 students got more than 85 then what is the lowest score that a student can achieve out of the remaining 6 students?

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Question 363024: if the average score of 20 students is 85 and 14 students got more than 85 then what is the lowest score that a student can achieve out of the remaining 6 students?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
if the average score of 20 students is 85 and 14 students got more than 85
then what is the lowest score that a student can achieve out of the
remaining 6 students?
:
%28%2814%2886%29%2B6%28x%29%29%29%2F20 = 85
multiply both sides by 20
14(86) + 6x = 20(85)
1204 + 6x = 1700
6x = 1700 - 1204
6x = 496
x = 496%2F6
x = 82.67 is the average of the remaining 6
:
The lowest 1 student can have to maintain this average
Assume the other 5 students got 85 each
%28%285%2885%29%2Bx%29%29%2F6 = 82.76
multiply both sides by 6
5(85)+ x = 6(82.67)
425 + x = 496
x = 496 - 425
x = 71 is the lowest score for one student to have