Math, asked by Superglactus, 11 months ago

There 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?

Answers

Answered by Swarup1998

5 guards will be on each team.

Given data;

There 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.

To find:

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

Step-by-step explanation:

In order to find the number of guards possible on each team, we find the HCF of the numbers 32 and 80.

Here,

• 32 = 2 × 2 × 2 × 2 × 2

• 80 = 2 × 2 × 2 × 2 × 5

Thus HCF = 2 × 2 × 2 × 2 = 16

Thus Leo will be able to create 16 teams the most with the same number of forwards and the same number of guards.

Hence, each team will have

• 32 ÷ 16 = 2 forwards and

• 80 ÷ 16 = 5 guards.