how many home team fans and away team fans attended the game?

Question

75 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 less 90 than 4 times the number of away team fans. how many home team and away team fans attended the game? 

Answer 1

Let x represent the # of away fans

 

so, 4x-90 equals the # of home fans

 

The equation:

 

x+4x-90=75

5x-90=75

5x=165

x=33

4x-90=42

 

There were 42 home fans and 33 away fans