<PRE><B>Question 363024</B>
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?
:
{{{((14(86)+6(x)))/20}}} = 85
multiply both sides by 20
14(86) + 6x = 20(85)
1204 + 6x = 1700
6x = 1700 - 1204
6x = 496
x = {{{496/6}}}
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
{{{((5(85)+x))/6}}} = 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</PRE>