SOLUTION: In a baseball game 1/2 the number of runs scored by the winning team exceeds 5 by as much as 1/3 the losing teams runs exceeds 1. If the total runs scored is 18, what is the final

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: In a baseball game 1/2 the number of runs scored by the winning team exceeds 5 by as much as 1/3 the losing teams runs exceeds 1. If the total runs scored is 18, what is the final      Log On


   

Question 136877: In a baseball game 1/2 the number of runs scored by the winning team exceeds 5 by as much as 1/3 the losing teams runs exceeds 1. If the total runs scored is 18, what is the final score?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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In a baseball game 1/2 the number of runs scored by the winning team exceeds 5 by as much as 1/3 the losing teams runs exceeds 1. If the total runs scored is 18, what is the final score?
:
Let x = score of the winning team
then
(18-x) = score of the losing team
:
Write an equation for the statement
"In a baseball game 1/2 the number of runs scored by the winning team exceeds 5 by as much as 1/3 the losing teams runs exceeds 1."
:
.5x = 5 + 1%2F3(18-x) - 1
.5x = 5 + 6 - 1%2F3x - 1
.5x = 10 - 1%2F3x
1.5x = 30 - x; multiplied by 3 to get rid of the denominator
1.5x + x = 30
x = 30%2F2.5
x = 12 is the score of the winning team
then
18 - 12 = 6 is the score of the losing team
:
Final score 12 - 6