Question 1171612
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Let x = the number of hot dogs.

Then the number of bags = 1127-x.


Total money equation is


    6.50x + 4.25(1127-x) = 6034.


From the equation


    x = {{{(6034 - 4.25*1127)/(6.50-4.25)}}} = 553.


<U>ANSWER</U>.  553 hot dogs, and the rest items,  1127-553 = 574 are bags of popcorn.


<U>CHECK</U>.  553*6.50 + 574*4.25 = 6034.00 dollars, total.  ! Precisely correct !
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Solved.