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Verified Answer :

  1. x + y = 40
         2.25x +1.75y = 83.50

    Multiply the first equation by -2.25
    So you get -2.25x + -2.25y = -90

    So now your equations are -2.25x + -2.25y = -90
                                                  2.25x +1.75y = 83.50
    And add them together      -------------------------------
                                                              -.5y = -6.5
                                                            ÷-.5     ÷-.5
                                                       ------------------------
                                                                 y = 13
    Now that you know y= 13 then u can plug it into any of the equations
    i use x + y = 40 since it's easier
    So plug in 13 for y
    You should get x + 13 = 40
                                 -13     -13
                            ---------------------
                                     x = 27

    So 27 hotdogs and 13 popcorns were purchased.