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 \(= \frac{23}{2}=11.5\) teams
No of guards= \(3x\). max number of teams \(= \frac{21}{3}=7\) teams
No of goalie = \(1x\). max number of teams \(= \frac{9}{1}=9\) teams
the minimum number of teams = 7 or 42 players.
Total number of player = \(23+21+9=53\).
Total number of unpicked players \(= 11\)
Please share the correct answers. Thanks