Problema Solution

A movie theater has a seating capacity of 229. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 1662, How many children, students, and adults attended?

Answer provided by our tutors

Let

c = the number of children 

s = the number of students

a = the number of adults

a + c + s = 229

a = c/2

12a + 5c + 7s = 1662

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click here to see the system of equations solved for a, c and s

........

a = 59 adults

c = 118 children

s = 52 students

59 adults, 118 children and 52 students attended.