SOLUTION: A student has a total of 244 points from 3 tests. The first test score was 20 more than the second test score. The sum of the second and third test scores was 60 points more than t

Click here to see ALL problems on Mixture Word Problems

Question 102218: A student has a total of 244 points from 3 tests. The first test score was 20 more than the second test score. The sum of the second and third test scores was 60 points more than the first test score. Find each test score.
Found 2 solutions by checkley75, mathemanic:
Answer by checkley75(3666) (Show Source):
You can put this solution on YOUR website!
X+Y+Z=244
X=Y+20
Y+Z=X+60 OR X-Y-Z=-60
X+Y+Z=244
X-Y-Z=-60 NOW ADD THESE 2 EQUATIONS
-----------------------------
2X=184
X=184/2
X=92 ANSWER FOR THE FIRST TEST.
92=Y+20
Y=92-20
Y=72 ANSWER FOR THE SECOND TEST.
92+72+Z=244
164+Z=244
Z=244-164
Z=80 ANSWER FOR THE THIRD TEST.

Answer by mathemanic(13) (Show Source):
You can put this solution on YOUR website!
Suppose the first test score is x, second is y, and third is z.
... (1)
... (2)
... (3)
Suppose you substitute x from (2) into (3),

therefore, (1) will become:

substituting x from (2) into this equation gives:

and therefore we get value of x from (2)

Therefore, the student's test scores were 92, 72, and 80.
Hope that helps :)