Question 1191883: A movie theater has a seating capacity of 197. The theater charges $5.00 for children, $7.00 for students, and $12.00 for adults. There are half as many adults as there are children. If the total ticket sales was $ 1430, How many children, students, and adults attended?
Answer by ikleyn(52879)   (Show Source):
You can put this solution on YOUR website! .
A movie theater has a seating capacity of 197.
The theater charges $5.00 for children, $7.00 for students, and $12.00 for adults.
There are half as many adults as there are children.
If the total ticket sales was $ 1430, How many children, students, and adults attended?
~~~~~~~~~~~~~~~~~
adults = x
children = 2x
students = 197 - x - 2x = 197 - 3x
Total money equation (the revenue)
12x + 5*(2x) + 7*(197-3x) = 1430
From the equation
x =  = 51.
ANSWER. adults: 51; children: 2*51 = 102; students: 197-3*51 = 44.
Solved (using one equation in one unknown).
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