SOLUTION: A theater has tickets at $6 for adults, $3.50 for students and $2.50 for children under 12 years old. A total of 278 tickets were sold for one showing with a total revenue of $1,30

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Question 840558: A theater has tickets at $6 for adults, $3.50 for students and $2.50 for children under 12 years old. A total of 278 tickets were sold for one showing with a total revenue of $1,300. If the number of adult tickets sold was 10 less than twice the number of student tickets, how many of each type of ticket were sold for showing?
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi,

If the number of adult tickets sold was 10 less than twice the numberhighlight_green%28x%29 of student tickets

And...A total of 278 tickets were sold 

number of adult tickets    highlight_green%282x-10%29

number of student tickets  highlight_green%28x%29

number of children tickets highlight_green%28278+-+%282x-10%29+-+x%290r278-3x%2B10

Question states*** total revenue of $1,300 

 $6(2x-10) + $3.50x + $2.50(278-3x+10) = $1300

 12x - 60 + 3.5x + 2.5*278 - 7.5x + 25 = 1300

  8x = 1300 + 60 -695-25 

  8x = 640 

   x = 80, number of student tickets, 150 Adult and 48 Children 278-230

CHECKING our answer***

$900 + $280 + $120 = $1300