Problema Solution

Darren sold 75 tickets worth $462.50 for the school play. He charged $7.50 for adults and $3.50 for students. How many of each kind of ticket did he sell?

Answer provided by our tutors

let


a = the number of adult tickets sold

s = the number of student tickets sold


Darren sold 75 tickets worth $462.50 for the school play


a + s = 75


7.50a + 3.50s = 462.50


by solving the above system of equations we find


a = 50 tickets


s = 25 tickets


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Darren sold 50 adult and 25 student tickets.