SOLUTION: jess chris and nick scored a total of 249 points on their math exam. jess score was 20 points higher than chris's score. twice nicks score was 6 more than the sum of chris's and je
Algebra.Com
Question 531647: jess chris and nick scored a total of 249 points on their math exam. jess score was 20 points higher than chris's score. twice nicks score was 6 more than the sum of chris's and jess's score waht was each of their scores on the exam?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
jess chris and nick scored a total of 249 points on their math exam. jess score was 20 points higher than chris's score. twice nicks score was 6 more than the sum of chris's and jess's score waht was each of their scores on the exam?
-------------------------
Equations:
j + c + n = 249 points
----
j = c+20
2n = c + j + 6
---------------------------
Modify by substituting:
2n = c + c+20 + 6
2n = 2c + 26
n = c + 13
----
Substitute for j and n and solve for "c":
c+20 + c+13 + c = 249
3c + 33 = 249
3c = 216
c = 72 (# of points Chris has)
j = c + 20 = 92 (# of points jess has)
n = c + 13 = 85 (# of points nick has)
========================
Cheers,
Stan H.
RELATED QUESTIONS
On A Math Quiz, Arthur Scored Twice What Billy Scored. Chris Scored Three Points Higher... (answered by stanbon)
Juan scored 10 points higher on his midterm and 26 points higher on his final than he did (answered by macston)
Tate scored 5 points higher on his midterm and 13 points higher on his final than he did... (answered by ikleyn,greenestamps)
19. On a math exam, two students score 98 points, five scored 87 points, one scored 81... (answered by IFY)
Students are chosen for a scholarship based on their scores on tests of mathematics and... (answered by Boreal,greenestamps)
Sam scored 5 points more than Jasmine on a class test. If they scored a total of
153... (answered by ikleyn,Alan3354)
Illinoise and Marquette scored a total of 54 points in the first quarter of their game.... (answered by Fombitz)
Good evening. I have the following word problem and I was wondering if I can find some... (answered by ewatrrr,ikleyn)
Juan scored 4 points higher on his midterm and 32 points higher on his final exam than he (answered by pwac)