Answer:
12 teams.
Step-by-step explanation:
Let B represent number of Blue division teams and R represent number of Red division teams.
We have been given that blue division cost 160 per team, so cost of B blue division teams would be [tex]160B[/tex].
We are also told that red division cost 180 per team, so cost of R Red division teams would be [tex]180R[/tex].
Since volleyball league organizer organizer collects $2,040 from both divisions of volleyball team, so we can represent this information in an equation as:
[tex]160B+180R=2040[/tex]
Since it is a league match, so both divisions must have equal teams. This means [tex]B=R[/tex].
Upon substituting this value in our equation, we will get:
[tex]160R+180R=2040[/tex]
[tex]340R=2040[/tex]
[tex]R=\frac{2040}{340}[/tex]
[tex]R=6[/tex]
Since the number of teams is blue division is equal to teams in red division, therefore, 12 teams will play in game.
