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

Answer 1

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+90

5×a=165 and finally

a=$\frac{165}{5}=33$

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