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?  Pick one.
A) 30
B) 50
C) 80
D) 90
E) 120
ChildCount = ?   AdultCount = ?   TotalCount = 150   ChildAdmission = $6   AdultAdmission = $8   TotalAdmission = $1020   a) TotalCount = AdultCount + ChildCount   b) TotalAdmission = ( ChildAdmission * ChildCount) + (AdultAdmission * AdultCount)   Solve for a) for ChildCount = TotalCount - AdultCount   Substitute into b) :   TotalAdmission = (ChildAdmission * (TotalCount - AdultCount)) + (AdultAdmission * AdultCount)   =&gt; AdultCount = (TotalAdmission - (ChildAdmission * TotalCount)) / (AdultAdmission - ChildAdmission)   So, AdultCount = 60   and ChildCount = 90   So the difference is 30 more children then adults   A. 30
<result>A</result>
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?