SOLUTION: a concert venue sold 1700 tickets one evening tickets cost $25 for a covered pavilion seat and 15 for a lawn see a total of $33,000. how many of each type of ticket were sold

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Question 1099781: a concert venue sold 1700 tickets one evening tickets cost $25 for a covered pavilion seat and 15 for a lawn see a total of $33,000. how many of each type of ticket were sold
Found 2 solutions by ikleyn, richwmiller:
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let  x be the number of the $25 tickets.

Then the number of the $15 tickets is (1700-x).


The "money" equation is

25x + 15*(1700-x) = 33000   dollars.


Simplify and solve for x:

25x + 25500 - 15x = 33000  ====>  10x = 33000 - 25500 = 7500  ====>  x = 7500%2F10 = 750.


Answer.  750 tickets by $25 and the rest  1700-750 = 950 tickets by $15.


Check.   750*25 + 950*15 = 33000.   ! Correct !

Solved.

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There are also other methods for solving tickets problems,
but this one is the simplest and most straightforward among the basic methods.

See the lessons
    - Using systems of equations to solve problems on tickets
    - Three methods for solving standard (typical) problems on tickets
in this site.


Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
What, pray tell, is a "lawn see"? Anything like a lawn seat?