the pumas won 2 of their 1st 9 games. How many games would they have to play if they won 75% of their remaining games

Question

the pumas won 2 of their 1st 9 games. How many games would they have to play if they won 75% of their remaining games and ended the season with exactly 2/3 of the games won?

Answer 1

Grace, if they win 75% of the remaining games, then they had to have played a multiple of 4 games, right? Their total then had to be a multiple of 3, and their wins had to be a multiple of 2.

 

We're going to add 12, with 9 of those being wins.

 

21 games, 11 wins. 11 is not 2/3 of 21.

 

33 games, 20 wins. Not quite.

 

45 games, 29 wins. Nooo.

 

57 games, 38 wins. 38/57 = 2/3, so there ya go.

 

57 is your answer.

 

Hope this helps!