Problema Solution

tickets to a school play cost 5$ for adults and 3.50 for students on opening night 400 tickets were sold for a total of 1,580$ how many adult tickets were sold and how many student tickets were sold

Answer provided by our tutors

let


a = the number of adult tickets sold


s = the number of student tickets sold


on opening night 400 tickets were sold:


a + s = 400


a total of 1,580$ was made from the sale:


5a + 3.50s = 1580


by solving the system of equations:


a + s = 400


5a + 3.50s = 1580


we find:


a = 120 adult tickets


s = 280 student tickets


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there were 120 adult tickets and 280 student tickets sold.