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Step-by-step explanation:

1) Number of children = c

Number of adults = a

Total ticket = 250

c + a = 250 (I)

Cost of 'c' children tickets = 200c

Cost of 'a' adult tickets =  450a

Total cost = 76000

200c + 450a = 76000  (II)

Multiply (I) by (-200) and then add

(I)*(-200)          -200c - 200a = -50000

(II)                     200c + 450a = 76000

                                   250a = 26000

                                           a = 26000/250

a = 104

Plug in a = 104 in equation (1)

c + 104 = 250

         c = 250 - 104

        c = 146

2)Number of children = 146

Number of adults = 104