SOLUTION: In june a baseball team that played 60 games had won 30% of its game played. After a phenomenal winning streak this team raised its average to 50% .How many games must the team hav

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Question 262228: In june a baseball team that played 60 games had won 30% of its game played. After a phenomenal winning streak this team raised its average to 50% .How many games must the team have won in a row to attain this average?

A. 12 B. 20 C. 24 D. 30

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
In june a baseball team that played 60 games had won 30% of its game played.
After a phenomenal winning streak this team raised its average to 50% .
How many games must the team have won in a row to attain this average?
:
Let x = no. of games won in a row after playing 60 games
:
Av = %28games+won%29%2F%28games+played%29 = .50
:
%28.30%2860%29+%2B+x%29%2F%2860+%2B+x%29 = .5
:
.3(60) + x = .5(60 + x)
18 + x = 30 + .5x
x - .5x = 30 - 18
.5x = 12
x = 24 games won after playing 60
:
:
Check
%2818%2B24%29%2F%2860+%2B+24%29 =
42%2F84 = .5