Question

There are 80 guards and 32 forwards in Ben's basketball league.

Ben must include all players on a team and he wants each team to have the same number of guards and the same number of forwards.

If Ben creates the greatest number of teams possible, how many forwards will be on each team?

Answer 1

Explanation:

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

Number of forwards = 32 ÷ 16 = 2

Explanation:

For finding the same number of guards and same number of forwards for each time we should first calculate highest common factor (HCF) of 80 guards and 32 forwards.

Thus, finding factors of 80 and 32:

80 = 2 × 2 × 2 × 2 × 5

32 = 2 × 2 × 2 × 2 × 2

Thus, HCF of 80 and 32 = 2 × 2 × 2 × 2 = 16.

Hence, Number of guards = 80 ÷ 16 = 5

And, Number of forwards = 32 ÷ 16 = 2.