Problema Solution

Tickets to a community theater cost $25 for adults and $9 for children. At a recent performance, a total of 297 tickets were sold for $5889. Determine how many tickets of each kind were sold.

Answer provided by our tutors

let


a = the number of adult tickets sold

c = the number of children tickets sold


a total of 297 tickets were sold for $5889


a + c = 297


25a + 9c = 5889


by solving the above system of equations we find


a = 201 tickets


c = 96 tickets


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201 adult tickets and 96 children tickets were sold.