SOLUTION: The sum of a student's three scores is 228. If the first is 21 points more than the second, and the sum
of the first two is 3 more than twice the third, what was the first score?
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of the first two is 3 more than twice the third, what was the first score?
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Question 452378: The sum of a student's three scores is 228. If the first is 21 points more than the second, and the sum
of the first two is 3 more than twice the third, what was the first score? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! The sum of a student's three scores is 228.
a + b + c = 228
;
If the first is 21 points more than the second,
a = b + 21
or
a - b = 21; will use this for elimination
:
the sum of the first two is 3 more than twice the third,
a + b = 2c + 3
:
what was the first score?
:
In the 1st equation, replace a+b with (2c+3), find c
2c + 3 + c = 228
3c = 228 - 3
c =
c = 75 is the 3rd score
:
Replace c with 75 in the 1st equation
a + b + 75 = 228
a + b = 228 - 75
:
a + b = 153
a - b = 21; addition eliminates b find a
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2a = 174
a =
a = 87 is the 1st score
