A movie theater has a seating capacity of 225. The theater charges $5.00 for children,

Question

A movie theater has a seating capacity of 225. 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 $ 1628 on a sold out night, how many children, students, and adults attended?

 children attended.

 students attended.

 adults attended.

Answer 1

x = number of children

y = number of students

x/2 = number of adults

225

x + y + x/2 = 225

x*5 + y*7 + x/2 (12) = 1628

two equations in two unknowns. solve for x and y and use to get the number of each