here are 32 forwards and 80 guards in Leo's basketball league.
Leo must include all players on a team and wants each team to have the same number of forwards and the same number of guards.
If Leo creates the greatest number of teams possible, how many guards will be on each team?
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2 answers

16 teams ... 2 forwards and 5 guards each
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answered by R_scott 
You are first of all looking for the LCM of 32 and 80
Don't know which algorithm you learned , but here is one of them:
32 = 2*2*2*2*2
80 = 2*2*2*2*5
So you will need 2*2*2*2*2*5 = 160
160/32 = 5 < forwards
160/80 = 2 < guards
80/5 = 16
32/2 = 16
So they can form 16 teams, with each team having 2 guards and 5 forwards.
Check: all players are used, each team contains the same number and
combination of players. 👍
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answered by mathhelper
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