Answer:
There will be 5 guards on each team.
Explanation:
- In order to know how many teams Leo can create, we'll need a number that is a factorization of both 32 and 80, so that the 32 forwards and the 80 guards can be divided up evenly.
- So, if there were 4 teams, there would be 32/4 = 8 forwards, and 80/4 = 20 guards on each team.
- This creates not only equal teams, but it isn't the GREATEST number of teams possible.
- To find the greatest number of teams, we're going to need to find the GCF of 32 and 80.
32: 1, 2, 4, 8, 16, 32.
80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80.
- The greatest common factor, or GCF of both 32 and 80 = 16.
- In mathematics form it looks like this: gcf(32, 80) = 16.
- The greatest number of team Leo can make is 16.
- Now, to find the number of GUARDS ONLY on each team, we need to divide the total number of guards by the number of teams.
- That'll look like this: 80/16 = 5.