Problema Solution

tickets for a play were $3 for students and $5 for non-students. On opening night 937 tickets were sold and $3943 was collected. How many tickets were sold to students? Non-students?

Answer provided by our tutors

let


s = the number of student tickets sold

n = the number of non-student tickets sold


On opening night 937 tickets were sold:


s + n = 937


$3943 was collected:


3s + 5n = 3943


by solving the system of equations


s + n = 937

3s + 5n = 3943


we find


s = 371 tickets


n = 566 tickets


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there are 371 student tickets sold and 566 non-student tickets sold.