Problema Solution
466 tickets were sold. Students paid 3.50 per ticket, while non-students paid 5.50 per ticket. If a total of $1987.00 was collected, how many students and non-students attended.
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let
s = the number of students
n = the number of non-students
total of 466 tickets were sold
s + n = 466
students paid 3.50 per ticket, while non-students paid 5.50 per ticket. a total of $1987.00 was collected
3.50s + 5.50n = 1987
by solving the system of equations
s + n = 466
3.50s + 5.50n = 1987
we find
s = 288 students
n = 178 non-students
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there were 288 students and 178 non-students.