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?
Algebra.Com
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
-------------
2a = 174
a =
a = 87 is the 1st score
RELATED QUESTIONS
The sum of a student's three scores is 228. If the first is 21 points more than the... (answered by ikleyn)
The sum of a student's three scores is 217. If the first is 16 points more than the... (answered by ewatrrr)
The sum of a student's three scores is 212. If the first is 20 points more than the... (answered by ankor@dixie-net.com)
the sum of a students three scores is 220. if the first is 23 points more than the... (answered by fractalier)
The sum of a student's three scores is 210. If the first is 23 points more than the... (answered by josgarithmetic,MathTherapy)
What is the sum of three consecutive odd integers if the sum of the second and third... (answered by SAT Math Tutor)
what is the sum of three consecutive odd integers if the sum of the second and third... (answered by Earlsdon)
What is the sum of three consecutive odd integers if the sum of the second and third... (answered by algebrahouse.com)
A lot is in the shape of a right triangle. The shorter leg measures 180m The hypotenuse... (answered by solver91311)