Question 1191883
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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?
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<pre>
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 = {{{(1430 - 7*197)/(12+5*2-7*3)}}} = 51.


<U>ANSWER</U>.  adults: 51;  children: 2*51 = 102;  students: 197-3*51 = 44.
</pre>

Solved (using one equation in one unknown).