Question

There are 323232 forwards and 808080 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?

Answer 1

The greatest number of possible teams is 16 and 5 guards will be on each team.

Step-by-step explanation:

Given,

Total number of forwards = 32,

Guards = 80

32 = 2 × 2 × 2 × 2 × 2

80 = 2 × 2 × 2 × 2 × 5

Thus, HCF(32,80) = 2 × 2 × 2 × 2 = 16

Hence, the greatest numbers of team is 16.

Now,

$\text{Number of guards in each team}=\frac{\text{Total guards}}{\text{Total teams}}$

$=\frac{80}{16}$

= 5

#Learn more:

Find HCF:

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