Ratio of 60 players, 2:3 by 1:2

Question

60 players

Juniors & Seniors to Freshman & Sophmores

2:3

Juniors to Seniors

1:2

How many Juniors,  how many Seniors?

Answer 1

60 players.  The ratio of (Seniors+Juniors) to (Freshman+Sophomores) = 2:3.  This is a part:part ratio so the whole = 2+3 = 5.  That means that :

 

(Seniors+Juniors) = (2/5)*60 = 24

 

Ratio of Juniors to Seniors is 1:2.  Again, this is a part:part ratio so the whole = 1 + 2 = 3.  That means that the number of seniors and juniors are:

 

Juniors = (1/3)*24 = 8

Seniors = (2/3)*24 = 16

Answer 2

Juniors & Seniors: 24

Freshman & Sophomores: 36

 

Juniors: 8

Seniors: 16