in june a baseball team that played 60 games had won 30% of its games played. affter phenomenonal wining streak this team raised its average to 50%. how many games must the team have won in a row to attain this average? (plz slove with solution)
a) 12 b) 20
c) 24 d) 30
Answers
Hey there !
Solution:
Average of winning = Total Games won / Total Games played
In 60 matches, the team had won 30% of the matches.
=> Games won = 30 / 100 * 60
=> Games won = 0.3 * 60 = 18 games
So Initial Average = 18 / 60 * 100 = 3 / 10 * 100 = 30%
Now let the games won in the streak be x
=> Average = ( 18 + x / 60 + x ) * 100
=> 50 = ( 18 + x ) / ( 60 + x ) * 100
=> 50 ( 60 + x ) = ( 18 + x ) 100
=> 3000 + 50x = 1800 + 100x
=> 3000 - 1800 = 100x - 50x
=> 1200 = 50x
=> x = 1200 / 50 = 24
Hence the number of matches won is 24.
Hence option ( c ) is correct.
Hope my answer helped !
Hey there !
Solution:
Average of winning = Total Games won / Total Games played
In 60 matches, the team had won 30% of the matches.
=> Games won = 30 / 100 * 60
=> Games won = 0.3 * 60 = 18 games
So Initial Average = 18 / 60 * 100 = 3 / 10 * 100 = 30%
Now let the games won in the streak be x
=> Average = ( 18 + x / 60 + x ) * 100
=> 50 = ( 18 + x ) / ( 60 + x ) * 100
=> 50 ( 60 + x ) = ( 18 + x ) 100
=> 3000 + 50x = 1800 + 100x
=> 3000 - 1800 = 100x - 50x
=> 1200 = 50x
=> x = 1200 / 50 = 24
Hence the number of matches won is 24.
Hence option ( c ) is correct.
Hope my answer helped !