Question

Currently a sports league has 33 teams with 24 players each. If the membership of each team is going to be reduced to 18 players, then how many additional teams will need to be formed to include all the remaining players?

Short answer

Based on the step-by-step solution, the short answer is: To accommodate all the remaining players when teams are reduced to 18 players each, 11 additional teams need to be formed.

Step-by-step solution

Find the total number of players in the league

To find the total number of players, multiply the number of teams by the number of players per team: \(33 \times 24\)

Calculate the number of players in the league after membership reduction

We first find the total number of players of the league. Total number of players = Number of teams × Number of players per team Total number of players = 33 × 24 = 792

Calculate the number of teams needed after membership reduction

Now we need to find out how many teams are needed when the number of players per team is reduced to 18. Number of teams needed = Total number of players ÷ New number of players per team Number of teams needed = 792 ÷ 18 = 44

Calculate how many additional teams need to be formed

Lastly, subtract the original number of teams from the number of teams needed after membership reduction to find out how many additional teams need to be formed. Additional teams needed = Number of teams needed - Original number of teams Additional teams needed = 44 - 33 = 11 So, 11 additional teams need to be formed to include all the remaining players when each team has only 18 players.