An amusement park charges $8 for an adults' ticket, and $6 for a children's ticket. On a certain day, a total of 150 tickets were sold for a total cost of $1020. How many more children's tickets were sold than adults' tickets?
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let y and x number of children and adult tickets be sold respectively. x+y=150 and 8x + 6y=1020 now 2x+6x+6y=1020=> 2x+6(x+y)=1020=> 2x+900=1020=> 2x=120=> x=60=> so,y=90 =>y-x=30