SOLUTION: 80 people attended a baseball game. Everyone there was a fan of either the home team or the away team. The number of home team fans was 68 less than 3 times the number of away team

Question 906345: 80 people attended a baseball game. Everyone there was a fan of either the home team or the away team. The number of home team fans was 68 less than 3 times the number of away team fans.
How many home team and away team fans attended the game?

Answer
# of home team fans =
# of away team fans =

Answer by AlgebraLady88(44) (Show Source): You can put this solution on YOUR website!
Let's designate the away team as AT
The home team will be 3AT - 68
Both will add up to 80 as that was the number of people who attended the baseball game.
AT + ( 3AT -68) = 80
AT + 3 AT - 68 = 80
4 AT - 68 = 80
4 AT = 80 + 68
4 AT = 148
AT = 37
HT = 3 AT - 68
= 3( 37) - 68
= 111 - 68
= 43
So, the away team had 37 fans and the home team had 43 fans
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