Problema Solution

There were 155 people at the basketball game. Tickets for the game are $2.50 for students and $4 for adults. If the total money received for admission was $492.50, how many students and adults attended the game?

Answer provided by our tutors

let


s = the number of student tickets sold

a = the number of adult tickets sold


there were 155 people at the basketball game


s + a = 155


the total money received for admission was $492.50


2.50s + 4a = 492.50


by solving the system of equations


s + a = 155

2.50s + 4a = 492.50


we find


s = 85 students


a = 70 adults


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85 students and 70 adults attended the game.