Question

there are 32 forwards and 80 guards in leos basketball league. eo 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?

Answer 1

Close.  The greatest common factor between 32 and 80 is 16 not 8.  

32 (forwards) / 16 (teams) = 2 forwards on each team.

80 (guards) / 16 (teams) = 5 guards on each team.

Answer 2

Answer with explanation:

Given : There are 32 forwards and 80 guards in Leos 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.

Then, the greatest number of teams possible= greatest common factor of 32 and 80

Prime factorization of 32 and 80:-

$32=2\times2\times2\times2\times2\\\\80=2\times2\times2\times2\times5$

∴ GCF(32, 80)= $2\times2\times2\times2=16$

Number of guards in each team =$\dfrac{80}{16}=5$

Hence, there are 5 guards in each team.