Question 424727
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Children's tickets to a movie cost $4. Adult tickets cost $7. 
If 275 tickets were sold for a total cost of $1174, how many of each type were sold?
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        The solution by @mananth in his post is  INCORRECT.

        The problem is posed  INCORRECTLY  and has no solution.

        I came to explain  WHY  it is so.



<pre>
Let x be the number of adult tickets.

Then the number of children tickets is (275-x).


Write the total cost equation (same as the total revenue)

    7x + 4*(275-x) = 1174  dollars.


Simplify and find x

    7x + 4*275 - 4x = 1174,

    7x - 4x = 1174 - 4*275

       3x   =     74

        x   =     74/3 = 24{{{2/3}}}  <<<---=== ? ? ? ? ? ? ?  
</pre>

We got a &nbsp;CONTRADICTION: &nbsp;the number of tickets must be integer, &nbsp;but we obtained non-integer answer.


It means that the problem is posed &nbsp;INCORRECTLY &nbsp;and describes a situation
which &nbsp;NEVER &nbsp;may happen.


The solution by @mananth in his post is &nbsp;INCORRECT.
Simply &nbsp;IGNORE &nbsp;his solution.