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?

42 home team and 33 away team fans attended the game.

Step-by-step explanation:

Let

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+90

5×a=165 and finally

a=

We know that h+a=75, if a=33 then h=42

answer: the common difference is -0.10