Question 1198443
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A movie theater has a seating capacity of 151. 
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 $ 1084, How many children, students, and adults attended?
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<pre>
x adults, 2x children and the rest (151-x-2x) = (151-3x) are the students.


Write the total money equation

    12x + 5*(2x) + 7*(151-3x) = 1084.


Simplify and find x

    12x + 10x + 7*151 - 21x = 1084

           x               = 1084 - 7*151 = 27.


<U>ANSWER</U>.  27 adults, 54 children and the rest 151-27-54 = 70 are students.
</pre>

Solved.


Three unknown are found using one equation, which is a kind of miracle.