SOLUTION: in the championship game, julius scored 5 points less than kareem, and wilt scored 1 point more trhan twice as many as kareem. if wilt scored 20 points more than julius, how many p

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: in the championship game, julius scored 5 points less than kareem, and wilt scored 1 point more trhan twice as many as kareem. if wilt scored 20 points more than julius, how many p      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 363851: in the championship game, julius scored 5 points less than kareem, and wilt scored 1 point more trhan twice as many as kareem. if wilt scored 20 points more than julius, how many points were scored by each player?
Found 2 solutions by amoresroy, ewatrrr:
Answer by amoresroy(361) About Me  (Show Source):
You can put this solution on YOUR website!
Let J = score of Julius
W = score of Wilt
K = score of Karem
1st Equation
J = K - 5
2nd Equation
W = 2K + 1
3rd Equation
W = J + 20
Subtract 2nd Equation by 3rd Equation
0 = 2K + 1 - J - 20
Since J = K -5 in Equation 1
0 = 2K + 1 -(K-5) -20
0 = 2k + 1 - K + 5 -20
K = 14
W = 2(14) + 1
= 29
J = W-20
= 29 -20
= 9

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi, 

Set Up:

Let x represent points Kareem scored. Julius scored (x-5) & Wilt scored (2x+1)

question states***

(2x+1)= (x-5) + 20

solving for x

x = 14 the points scored by Kareem, Julius scored 9 and Wilt scored 29

checking our answer

29 = 9 + 20