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

Answer:42 home team and 33 away team fans attended the game.Step-by-step explanation:Let h denote the number of home team fans a denote the number of away team fans.Since 75 people attended a baseball game and everyone there was a fan of either the home team or the away team; we have(1) h+a=75.Since the number of home team fans was 90 less than 4 times the number of away team fans, we have(2) h=4×a-90  In (1) lets put 4×a-90 instead of h, since h=4×a-90, we have then 4×a-90+a=75 4×a+a=75+905×a=165 and finally a=[tex]\frac{165}{5}=33[/tex] We know that h+a=75, if a=33 then h=42