In a local recreational soccer league there are 60 men and 252 women signed up to play. The organizers need to make sure that everyone is on a team, the teams are the same size, each team has the same number of males, and each team has the same number of females. What is the largest possible number of teams ? How many people will be on each team?
In a local recreational soccer league there are 60 men and 252 women signed up to play. The organizers need to make sure that everyone is on a team, the teams are the same size, each team has the same number of males, and each team has the same number of females. What is the largest possible number of teams ? How many people will be on each team?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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In a local recreational soccer league there are 60 men and 252 women signed up to play. The organizers need to make sure that everyone is on a team, the teams are the same size, each team has the same number of males, and each team has the same number of females. What is the largest possible number of teams ? How many people will be on each team?

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In a local, recreational soccer league there are 60 men and 252 women signed up to play. The organizers need
to make sure that everyone is on a team, the teams are the same size, each team has the same number of
males, and each team has the same number of females.
a. What is the largest possible number of teams?
b. How many people will be on each team?
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