SOLUTION: Students are chosen for a scholarship based on their scores on tests of mathematics and verbal achievement. A student's qualifying score is found by doubling his verbal score and

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Question 1105178: Students are chosen for a scholarship based on their scores on tests of mathematics and verbal achievement. A student's qualifying score is found by doubling his verbal score and adding his math score. Gretchen's math score was 54 points higher than her verbal score. Her qualifying score was 1782. Find Gretchen's math and verbal scores.

Found 2 solutions by Boreal, greenestamps:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
V=x
M=x+54
sum is 1782
2x+54=1782
2x=1728
x=864 verbal
x+54=918 math

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


The other tutor didn't read the problem correctly.... ("been there, done that"!!!)

The total 1782 is the math score plus TWICE the verbal score:
%28x%2B54%29%2B2x+=+1782
3x%2B54+=+1782
3x+=+1728
x+=+576

Gretchen's verbal score was 576; her math score was 576+54 = 630.