The adult tickets cost $4.25 + $3.25 = $<<4.25+3.25=7.50>>7.50.
So two adult tickets cost $7.50 x 2 = $<<7.5*2=15>>15.
Four children's tickets cost $4.25 x 4 = $<<4*4.25=17>>17.
So the total cost of all the tickets amounted to $15 + $17 = $<<15+17=32>>32.
The family had a discount, so they paid a total of $32 - $2 = $<<32-2=30>>30.
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