theloveheart wrote:
8. A new sport is played with teams made up of 2 forwards, 3 guards, and 1 goalie. There are 23 players available to
play forward, 21 other players available to play guard, and 9 other players available to play goalie. If the
maximum possible number of complete teams are formed, how many of the available players will not be on a
team?
source 5lb Manhattan GRE Practice book
Let there be x teams.
No of forwards =
2x. max number of teams
=232=11.5 teams
No of guards=
3x. max number of teams
=213=7 teams
No of goalie =
1x. max number of teams
=91=9 teams
the minimum number of teams = 7 or 42 players.
Total number of player =
23+21+9=53.
Total number of unpicked players
=11Please share the correct answers. Thanks