SOLUTION: Lucy took three tests. If her median score was 82, her mean score was 87, and the range was 17, what were her three test scores? My work so far: 87 = (82 + B + C) � 3 87 � 3 =

Question 686427: Lucy took three tests. If her median score was 82, her mean score was 87, and the range was 17, what were her three test scores?
My work so far:
87 = (82 + B + C) � 3
87 � 3 = (82 + B + C)
261 = 82 + B + C
261 � 82 = B + C
170 = B + C

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Lucy took three tests. If her median score was 82, her mean score was 87, and the range was 17, what were her three test scores?
let three tests be , , and
the median (being the middle value, in your case )score was :
......................1

the mean (average) was :
87=(a+b+c)/3...................2
and the range ( the difference between the two most extreme values)was :
let�s
so. the range is the difference between and

.......................3
______________________________
solve the system:
......................1.......plug it in 2
87=(a+b+c)/3...................2
.......................3
_________________
87=(a+82+c)/3...................2a
take 3 and solve for
.......................3
...................plug it in 3a

...................2a.......solve for

now, go to 3a and find

so, her three test scores ,, and

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