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):
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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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