There are 60 players on a high school football team. the ratio of juniors and seniors to freshmen and sophmores on the team is 2: 3. the ratio of juniors to seniors on the team is 1: 2. how many juniors are on the team? how many seniors?
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You know that the ratio of J&S to F&So is 2:3. You need two numbers that have that same ratio to total 60 players.  When you multiply both numbers by 12, you have a ratio of 2:3 but the number of players is 24 to 36.  Thus, the total players is 60.  When looking at the ratio of Juniors to Seniors, the ratio remains 1:2, but must total 24 players.  Dividing the total players by 3, you can find where 1 part of the players equals 2 parts of the others.  Keeping that same ratio in mind, you are able to calculate that the ratio of Juniors to Seniors is 8:16 but when reduced, still remains a 1:2 ratio.

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