Problema Solution

75 people attended a baseball game. Everyone there was a fan if 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 provided by our tutors

let


h = the number of home team fans

a = the number of away team fans


75 people attended a baseball game


a + h = 75


Everyone there was a fan if 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:


h = 4a - 90


by solving the system of equations


a + h = 75

h = 4a - 90


we find


a = 33 away team fans


h = 42 home team fans


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